Helmut Prodinger — Publications

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If you prefer this, you might go to Papers by subjects. However, these lists won't be regularly updated. A list of all the journals in which I published (as of March 1998) is here. A list of all my coauthors (as of February 2011) is here.

Chronological List (2011-)

2011

The intrinsic periodic behaviour of sequences related to a rational integral, INTEGERS paper A14 (2011), (6 pages), H. Prodinger. Important message!
The Swedish Leader Election Protocol: Analysis and Variations, G. Louchard, C. Martinez, H. Prodinger, (2011), 127-134, 2011 Proceedings of the Eighth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), SIAM Proceedings.
Redundant $\tau$-adic Expansions I: Non-Adjacent Digit Sets and Their Applications to Scalar Multiplication, R. Avanzi, C. Heuberger and H. Prodinger , Des. Codes Cryptogr. 58, 2011, 173-202.
A precise description of the p-adic valuation of the number of alternating sign matrices, Clemens Heuberger and H. Prodinger. It is available! Int. J. Number Theory (IJNT) 7 (2011), 57-69.
Words representing set partitions, K. Oliver and H. Prodinger, AADM, 5 (2011), 55-59.
The Catalan distribution: A saddle point approach, G. Louchard and H. Prodinger, Annals of Combinatorics, 15 (2011), 313-329.
How often do we reject a superior value? Extended abstract, accepted for FPSAC 2011, DMTCS proceedings AO, 2011, 741-752, full version in Transactions of the Royal Society of South Africa 66 (2011), 79-86, K. Oliver and H. Prodinger.
Unfair permutations, H. Prodinger, C. Schneider, S. Wagner, European Journal of Combinatorics 32 (2011), 1282-1298.
Continued fractions related to (t,q)-tangents and variants, H. Prodinger, Electronic Journal of Combinatorics 18 (2), 2011, P18 (7 pages).
Digital search trees with m trees: Level polynomials and insertion costs , H. Prodinger, DMTCS, 13 (3), 2011, 1-8.
The analysis of approximate quickselect and related problems, C. Martinez, A. Panholzer, and H. Prodinger, Theoretical Computer Science 412 (2011), 6537-6555.
Formulas for Fibonomial Sums with generalized Fibonacci and Lucas coefficients, The Fibonacci Quarterly 49 (2011), 32--329, E. Kilic, H. Prodinger, I. Akkus, and H. Ohtsuka.
On Some Continued Fraction Expansions of the Rogers-Ramanujan Type, Nancy S.S. Gu and H. Prodinger, Ramanujan Journal 26 (2011), 323-367.

2012

Number of Survivors in the Presence of a Demon , G. Louchard, H. Prodinger, M. Ward, Periodica Mathematica Hungarica 64 (2012), 101-117.
Notes on protected nodes in Digital Search Trees, Rosena Du and H. Prodinger, Applied Mathematics Letters, 25(6): 1025-1028 (2012).
Pseudo q-Engel expansions and Rogers-Ramanujan type identities, Quaestiones Mathematicae 35 (2012), 23-33, H. Prodinger.
Approximate counting with m counters: a detailed analysis, Theoretical Computer Science 439 (2012), 58-68, H. Prodinger.
Asymptotic results for the number of paths in a grid, Bulletin of the Australian Mathematical Society, 85 (2012), 446-455, Alois Panholzer and H. Prodinger.
Additively irreducibles in alpha-expansions, Publicationes Mathematicae Debrecen 80 (2012), 405-415, P. Grabner and H. Prodinger.
Approximate Counting via the Poisson-Laplace-Mellin Method, M. Fuchs, C.-K. Lee, and H. Prodinger, DMTCS proc. AQ, 2012, 13-28.
The q-Pilbert Matrix, Emrah Kilic and H. Prodinger, International Journal of Computer Mathematics Volume 89, Issue 10, July 2012, pages 1370-1377.
Dyck Paths with Parity Restrictions for the Final Runs to the Origin: A Study of the Height, H. Prodinger, Fundamenta Informaticae 117 (2012), 279-285.
Set partitions, words, and approximate counting with black holes, H. Prodinger, Australasian Journal of combinatorics 54 (2012), 303-310.
Consecutive records in geometrically distributed words, K. Oliver and H. Prodinger, Afrika Matematika 23 (2012), 163-172.
The Asymmetric Leader Election Algorithm with swedish stopping: A probabilistic analysis, G. Louchard and H. Prodinger, Discrete Mathematics and Theoretical Computer Science 14(2), 2012, 91-128.
The number of restricted lattice paths revisited, H. Prodinger, Filomat 26 (2012), 1130-1131.
On Touchard's continued fraction and extensions: combinatorics-free, self-contained proofs , H. Prodinger, Quaestiones Mathematicae, 35 (2012), 431-445.
The continued fraction expansion of Gauss' hypergeometric function and a new application to the tangent function, K. Oliver and H. Prodinger, Transactions of the Royal Society of South Africa 67 (2012), 151-154.
On the m-enumeration of maximum and left-to-right maxima in geometrically distributed words, H. Prodinger, PU. M. A. 23 (2012), 143-154.

2013

The visibility parameter for words and permutations , L.-L. Cristea and H. Prodinger, Central European Journal of Mathematics 11 (2013), 283-295.
The number of Huffman codes, compact trees, and sums of unit fractions, C. Elsholtz, C. Heuberger, and H. Prodinger, IEEE Transactions on Information Theory 59 (2) 2013, 1065-1075.
The largest missing value in a composition of an integer and some Allouche-Shallit-type identities, G. Louchard and H. Prodinger, Journal of Integer Sequences Article 13.2.2 (2013), 16 pages.
The m-version of binary search trees: an average-case analysis, H. Prodinger, ISRN Journal of Combinatorics, Volume 2013 (2013), Article ID 450627, 8 pages.
Variants of the Filbert Matrix, Emrah Kilic and H. Prodinger, Fibonacci Quarterly 51, 153-162, 2013.
Some Double binomial sums related to Fibonacci, Pell and generalized order-$k$ Fibonacci numbers, Emrah Kilic and H. Prodinger, Rocky Mountains Journal of Mathematics 43 (2013), 975-987.
An identity conjectured by Lacasse via the tree function, H. Prodinger, Electronic Journal of Combinatorics 20 (3), 2013, P7 (3 pages).
Continued fractions related to Goellnitz' little partition theorem, K. Oliver and H. Prodinger, Afrika Matematica 24 (2013), 665-670.
Words with a generalized restricted growth property, M. Fuchs and H. Prodinger, Indagationes Mathematicae 24 (2013), 1024-1033.
Partial fraction decomposition proofs of some q-series identities, Journal of Algebra, Number Theory: Advances and Applications 10 (2013), 1-27, N. S. S. Gu and H. Prodinger.
Identities of Gonzalez proved by a power series approach, Pioneer Journal of Advances in Applied Mathematics 9 (2013), 29-36, H. Prodinger.

2014

The box parameter for words and permutations, H. Prodinger, Central European Journal of Mathematics 12(1), 2014, 167-174.
A Short Proof of Carlitz's Bernoulli Number Identity, Journal of Integer Sequences, Vol. 17 (2014), Article 14.4.1, H. Prodinger.
Asymmetric generalizations of the Filbert matrix and variants, E. Kilic and H. Prodinger, Publications de l'Institut Mathematique 95 (109) (2014), 267-280.
A note on the conjecture of Ramirez and Sirvent, E. Kilic and H. Prodinger, Journal of Integer Sequences, Article 14.5.8, 2014.
Counting Palindromes According to r-Runs of Ones Using Generating Functions, H. Prodinger, Journal of Integer Sequences, Article 14.6.2, 2014.
A Generalization of a Conjecture of Melham, Emrah Kilic, Ilker Akkus, and H. Prodinger, Utilitas Mathematica 94 (2014), 225-232.
New Multiple Harmonic Sum Identities, R. Tauraso and H. Prodinger, Electronic Journal of Combinatorics 21(2) 2014, P2.43, 14 pages.
Horizontal runs in domino tilins, Journal of Algebra Combinatorics Discrete Structures and Applications, 2014, 1, 19-27 K. Oliver and H. Prodinger.
Order statistics of the generalised multinomial measure, Monatshefte fuer Mathematik, 175 (2014), 333-346, L. L. Cristea and H. Prodinger.
Three Series for the Generalized Golden Mean, K Hare, H. Prodinger, J. Shallit, The Fibonacci Quarterly, 52 (2014), 307-313.
Asymptotic analysis of the sum of the output of transducers, C. Heuberger, S. Kropf, H. Prodinger, DMTCS proc. BA, 2014, 145-156.
The generalized q-Pilbert Matrix, E. Kilic and H. Prodinger, Math. Slovaca 64 (2014), No. 5, 1083-1092.

2015

The height and width of bargraphs, A. Blecher, C. Brennan, A. Knopfmacher, and H. Prodinger, Discrete Applied Mathematics 180 (2015), 36-44.
Sums of products of generalized Fibonacci and Lucas numbers, E. Kilic and H. Prodinger, Acta Math. Hungar., 145 (1) (2015), 17-25.
Two Families of Series for the Generalized Golden Ratio, The Fibonacci Quarterly 53 (2015), 74-77, H. Prodinger.
Bootstrapping and double-exponential limit laws, Discrete Mathematics and Theoretical Computer Science 17(1) (2015), 123-144. H. Prodinger and St. Wagner.
Analytic Methods, in: Handbook of Enumerative Combinatorics, Miklos Bona, Ed., CRC Press (2015), pages 173-252. H. Prodinger.
Depth and path length of m-Plane Oriented Recursive Trees, Journal for algebra and number theory academia 5 (2015), 33-45, K. Oliver and H. Prodinger.
Clemens Heuberger, Sara Kropf, and Helmut Prodinger, Output sum of transducers: Limiting distribution and periodic fluctuation, Electronic Journal of Combinatorics P2.19 (2015), 53 pages.
Formulae related to the q-Dixon formula with applications to Fibonomial sums, E. Kilic and H. Prodinger, Periodica Mathematica Hungarica 70 (2015), 216-226. extended version
The reciprocal super Catalan matrix , H. Prodinger, Special Matrices 3 (2015), Art. 10.
The inverse Filbert matrix, K. Oliver and H. Prodinger, Afrika Mathematica Volume 26, Issue 5 (2015), Page 663-671.
On identities by Larcombe-Fennessey and Cassini, H. Prodinger and S. Wagner, The Fibonacci Quarterly 53 (2015), 219-220.
Approximate counting with m counters: a probabilistic analysis, G. Louchard and H. Prodinger, Journal of Algebra Combinatorics Discrete Structures and Applications 2 (2015), 191-209.

2016

A combinatorial study of two-periodic random walks , W. Panny and H. Prodinger, Stochastic models 32 (2016), 160-178.
Evaluation of Sums involving Gaussian q-Binomial Coefficients with rational weight functions. Emrah Kilic, Helmut Prodinger International Journal of Number Theory 12 (2016), 495-504.
Some Binomial Sums Involving Absolute Values, Richard P. Brent, Hideyuki Ohtsuka, Judy-anne H. Osborn, and Helmut Prodinger, Journal of Integer sequences, Article 16.3.7.
Counting Zeros in Random Walks on the Integers and Analysis of Optimal Dual-Pivot Quicksort. Martin Aumueller, Martin Dietzfelbinger, Clemens Heuberger, Daniel Krenn, Helmut Prodinger. Proceedings of the 27th International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Krakow, 2016
The Register Function and Reductions of Binary Trees and Lattice Paths Benjamin Hackl, Clemens Heuberger, Helmut Prodinger, Proceedings of the 27th International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms, Krakow, 2016
The height of multiple edge plane trees , C. Heuberger, H. Prodinger and St. Wagner, Aequationes Mathematicae 90/3 (2016), 625-645.
Identities With Squares of Binomial Coefficients: an Elementary and Explicit Approach. Publications de l'Institut Matematique (N.S.) 99 (113), 243 - 248, 2016, Emrah Kilic and Helmut Prodinger
Determinants containing rising powers of Fibonacci numbers, Helmut Prodinger, The Fibonacci Quarterly 54 (2016), 137-140
Batcher's odd-even exchange revisited: a generating functions approach , Helmut Prodinger Theoretical Computer Science 636 (2016), 95-100.
The generalized Lilbert matrix, Emrah Kilic and H. Prodinger, Periodica Mathematica Hungarica 73 (2016), 62-72.
Returns, hills, and t-ary trees, Helmut Prodinger, Journal of Integer sequences 19 (2016), Article 16.2.2.
Kilic, Emrah; Prodinger, Helmut; Closed form evaluation of sums containing squares of Fibonomial coefficients. Math. Slovaca 66 (2016), no. 3, 757-767.
Some Gaussian Binomial Sum Formulae with Applications, Indian J. Pure Appl. Math 47 (3) 399-407, 2016, Emrah Kilic and H. Prodinger.
Factorizations related to the reciprocal Pascal matrix , H. Prodinger. Turk J Math (2016) 40: 986 - 994.
Additional results on some recent infinite sums, Helmut Prodinger, The Fibonacci Quarterly 54 (2016), 344-347.
Notes on a combinatorial identity, Horst Alzer and Helmut Prodinger, Rend. Istit. Mat. Univ. Trieste 48 (2016), 1-8.
Closed form evaluation of restricted sums containing squares of Fibonomial coefficients.Kilic, Emrah; Prodinger, Helmut Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 78 (2016), no. 4, 57-66.
Analysis of Bidirectional Ballot Sequences and Random Walks Ending in their Maximum , Benjamin Hackl, Clemens Heuberger, Helmut Prodinger, and Stephan Wagner, Annals of Combinatorics, 2016, Volume 20, Issue 4, pp 775-797

2017

Summations in Bernoulli's Triangles via Generating Functions, Kamilla Oliver and Helmut Prodinger, Journal of Integer sequences 20 (2017), Article 17.1.3.
Analysis of Carries in Signed Digit Expansions , Clemens Heuberger, Sara Kropf and Helmut Prodinger, Monatshefte fuer Mathematik 182 (2017), 299-334.
Geometric random variables: Descents following maxima, Margaret Archibald, Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Helmut Prodinger, Statistics and Probability Letters 124 (2017) 140-147.
Iterative Cutting and Pruning of Planar Trees, Benjamin Hackl, Sara Kropf, and Helmut Prodinger, 2017 Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO). 2017, 66-72
On combinatorial identities of Engbers and Stocker, Horst Alzer and Helmut Prodinger, Integers 17 (2017), paper A13, 7 pages.
Evaluation of sums involving products of Gaussian q-binomial coefficients with applications to Fibonomial sums, Emrah KILIC, Helmut PRODINGER, Turk J Math (2017) 41: 707-716
Kilic, Emrah and Prodinger, Helmut, The matrix of super Patalan numbers and its factorizations. Filomat 31 (2017), 2337-2344.
Closed form evaluation of Melham's reciprocal sums, E. Kilic and H. Prodinger, Miskolc Mathematical Notes 18 (2017), 251-264.
Application of Smirnov Words to Waiting Time Distributions of Runs , Uta Freiberg, Clemens Heuberger and Helmut Prodinger, The Electronic Journal of Combinatorics 24(3), P3.55, 12 pages, 2017.
Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions, Helmut Prodinger, Open Mathematics 2017, 15: 1156-160.
Mortenson's identities and partial fraction decomposition, H. Prodinger, Utilitas Mathematica, 103 (2017), 175-179.
Protection number of plane trees, Applicable Analysis and Discrete Mathematics 11 (2017), 314-326, C. Heuberger and H. Prodinger.
Factorizations related to some numerical triangles, Helmut Prodinger. Spec. Matrices 5 (2017), 290-295.

2018

Reductions of Binary Trees and Lattice Paths induced by the Register Function Benjamin Hackl, Clemens Heuberger, Helmut Prodinger, Theoret. Comput. Sci. 705 (2018), 31-57.
Growing and destroying Catalan-Stanley trees, B. Hackl and H. Prodinger, DMTCS 20:1, #11, 14 pages.
Fringe Analysis of Plane Trees Related to Cutting and Pruning, Benjamin Hackl, Clemens Heuberger, Sara Kropf, Helmut Prodinger, Aequationes Math. 92 (2018), no. 2, 311-353.
The Necklace Process: A Generating Function Approach, Benjamin Hackl and Helmut Prodinger. Statistics and Probability Letters 142 (2018), 57-61.
Benjamin Hackl, Clemens Heuberger and Helmut Prodinger, Counting Ascents in Generalized Dyck Paths, 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018), 26:1-26:15, doi ={10.4230/LIPIcs.AofA.2018.26},
Clemens Heuberger, Daniel Krenn and Helmut Prodinger, Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus, booktitle ={29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018)}, 27:1-27:18, doi ={10.4230/LIPIcs.AofA.2018.27},
On Ruehr's identities, H. Alzer and H. Prodinger, Ars Combinatoria 139 (2018), 247-254.
Ternary Smirnov words and generating functions, INTEGERS (2018), paper A69, 6 pages, H. Prodinger.
Finite Rogers-Ramanujan type continued fractions, Helmut Prodinger, J. Algebra Comb. Discrete Appl. 5(3) (2018) 137-142.
Visibility problems related to skip lists, Helmut Prodinger, Australasian Journal of Combinatorics 72(3) (2018), 509-515.
A bijection between phylogenetic trees and plane oriented recursive trees, Rend. Istit. Mat. Univ. Trieste Volume 50 (2018), 133-137, H. Prodinger.

2019

Ivica Martinjak and Helmut Prodinger, INTEGERS volume 19, (2019), Complementary Families of the Fibonacci-Lucas Relations, paper A2.
Emrah Kilic and Helmut Prodinger, Evaluation of sums involving products of Gaussian a-binomial coefficients with applications. Mathematica Slovaca 69 (2019) 327-338.
Talha Arikan, Emrah Kilic and Helmut Prodinger, A nonsymmetrical matrix and its factorizations. Mathematica Slovaca 69 (2019) 753-762.
Dual-Pivot Quicksort: Optimality, Analysis and Zeros of Associated Lattice Paths Martin Aumueller, Martin Dietzfelbinger, Clemens Heuberger, Daniel Krenn, Helmut Prodinger, arXiv:1611.00258. Shorter version in Combinatorics, Probability, and Computing 28 (2019), 485-518.
Logarithms of a binomial series: A Stirling number approach, H. Prodinger, Mathematica Contemporanea, 17 (2019), 271-275.
Sums of squares of Tetranacci numbers: A generating function approach, H. Prodinger and S.J.Selkirk, The Fibonacci Quarterly 57 (2019), 313-317.
A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices, Emrah Kilic and Helmut Prodinger, Contributions to Discrete Mathematics 14 (2019), 80-104

2020

Identities and Inequalities for Sums Involving Binomial Coefficients, H. Alzer and H. Prodinger, INTEGERS paper A9, 2020.
Evaluation of some reciprocal trigonometric sums via partial fraction decomposition, Talha Arikan and Helmut Prodinger, Kuwait J. Sci. 47 (1) pp. 14-21, 2020.
Some combinatorial matrices and their LU-decomposition, H. Prodinger, Special matrices 8 (2020), 61-67.
Sums of powers over equally spaced Fibonacci numbers, H. Prodinger, Integers, paper A37, 2020.
Formulae for multi-parameter Gaussian q-binomial sums with applications, E. Kilic and H. Prodinger, Indian Journal of Pure and Applied Mathematics, 51, 2020, 457-464.
A new recursion for Bressoud's polynomials, Helmut Prodinger, Open Journal of Discrete Applied Mathematics 3, 2020, 23-29.
On Two Subclasses of Motzkin Paths and Their Relation to Ternary Trees, Helmut Prodinger, Sarah J. Selkirk, Stephan Wagner, Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra In Honour of Peter Paule on his 60th Birthday, Veronika Pillwein and Carsten Schneider, Editors, 2020, 297-316, Springer-Verlag.
Enumeration of S-Motzkin paths from left to right and from right to left --- a kernel method approach, H. Prodinger, PU. M. A. Vol. 29 (2020), No.1, pp. 28-38.

2021

Retakh's Motzkin paths and some combinatorial considerations, H. Prodinger, Enumerative Combinatorics and Applications, ECA 1 (2021) Article S2R4.
Combinatorics on lattice paths in strips, N.S.S.Gu and H. Prodinger, European Journal of Combinatorics 94 (2021), 103310, 14 pages.
Deutsch paths and their enumeration, H. Prodinger. Open J. Discret. Appl. Math. 2021, 4(1), 12-18.
How to sum powers of balancing numbers efficiently, H. Prodinger. Notes on Number Theory and Discrete Mathematics 27, 2021(1) 134-137.
Summing a family of generalized Pell numbers, H. Prodinger. Ann. Math. Sil. 35 (2021), no. 1, 105-112.
On third-order Pell polynomials, H. Prodinger, INTEGERS 21, paper A38, 6 pages, 2021.
Generating functions for a lattice path model introduced by Deutsch, H. Prodinger, Special Matrices 2021, 9: 217-225.
Enumeration of Deutsch paths by the adding-a-new-slice method and applications, H. Prodinger. MATIMYAS MATEMATIKA, Journal of the Mathematical Society of the Philippines Vol. 44 No. 1 (2021) pp. 15-22
Convolution identities for Tribonacci numbers via the diagonal of a bivariate generating function, H. Prodinger, Palestine Journal of Mathematics, Vol. 10(2)(2021) , 440-442.
On some questions about ternary paths --- a linear algebra approach, H. Prodinger, Rocky Mountains Journal of Mathematics (2021), No. 2, 709-720.
An elementary approach to solve recursions relative to the enumeration of S-Motzkin paths, H. Prodinger, Journal of Difference Equations and Applications, 27:5, 776-785, 2021.
Non-decreasing Deutsch paths, H. Prodinger, The Fibonacci Quarterly 59 (2021), 232-236.
A bijection between two subfamilies of Motzkin paths, N.S.S. Gu and H. Prodinger, Applicable Analysis and Discrete Mathematics 15 (2021), 460-466.

2022

Philippe Flajolet's Early Work in Combinatorics, H. Prodinger. Enumerative Combinatorics and Applications ECA 2:1 (2022) Article #S1H1.
Skew Dyck paths having no peak at level 1 , H. Prodinger. Journal of Integer Sequences, Vol. 25 (2022), Article 22.1.6
Partial sums of Horadam sequences: sum-free representations via generating functions , H. Prodinger. INTEGERS 22 (2022), paper A20.
The amplitude of Motzkin paths, H. Prodinger. Notes on Number Theory and Discrete Mathematics, Volume 28, 2022, Pages 41-47.
Skew Dyck paths with catastrophes , Discrete Mathematics Letters, 10 (2022), 9-13, H. Prodinger.
Partial Skew Dyck Paths: A kernel method approch, H. Prodinger, Graphs and Combinatorics 38 (2022): 135 (11 pages)
A matrix with sums of Catalan numbers---LU-decomposition and determinant, H. Prodinger. The Fibonacci Quarterly 60 (2022), 226-228.
Partial Dyck paths with Air Pockets, Integers #A94, 2022, H. Prodinger.
Deepest nodes in marked ordered trees, Annales Mathematicae Silesianae 36 (2022), 215-227, H. Prodinger.
Counting ternary trees according to the number of middle edges and factorizing into (3/2)-ary trees, Asian-European Journal of Mathematics https://doi.org/10.1142/S179355712250187X, H. Prodinger.

2023

Interview with Helmut Prodinger, ECA 3:1 (2023) Interview S3I3.

Jean-Luc Baril and Helmut Prodinger, Enumeration of partial Lukasiewicz paths, ECA 3:1 (2023) Article S2R2.

Helmut Prodinger, S-Motzkin paths with catastrophes and air pockets, Discrete Math. Lett. 12 (2023) 78-85.
Francois van Niekerk, Zurab Janelidze, and Helmut Prodinger, Combinatorics arising from Lax colimits of posets, Order 40, (2023), 493-524.
Helmut Prodinger, Kn"odel walks in a B"ohm-Hornik environment, Journal of Statistics and Computer Science Vol. 2, Issue 2, 2023, pp. 121-132
Helmut Prodinger, A walk in my lattice path garden, Seminaire Lotharingien 87B (2023), article 1, 49 pages.

2024

H. Prodinger, Skew Dyck paths without up-down-left, Art Discrete Appl. Math. 7 (2024), #1.01, doi:10.26493/2590-9770.1598.e49
Aubrey Blecher, Arnold Knopfmacher, Helmut Prodinger, Left-to-right maxima in Dyck bridges and walks, Bulletin of the ICA, 100 (2024), 123-137
Helmut Prodinger, Dispersed Dyck paths revisited, Contrib. Math. 9 (2024) 26-32
Helmut Prodinger, On k-Dyck Paths with a Negative Boundary, Journal of Combinatorial Mathematics and Combinatorial Computing, 119: 3-12 (2024).
Helmut Prodinger, Notes on Number Theory and Discrete Mathematics, 30 (2), 213-222, (2024) MIN-turns and MAX-turns in k-Dyck paths: A pure generating function approach
Aequationes Mathematicae Skew Dyck paths with air pockets Jean-Luc Baril, Remi Marechal, and Helmut Prodinger, Skew Dyck paths with air pockets (2024), 18 pages.
Helmut Prodinger, k-Non-crossing Trees and Edge Statistics Modulo k, ECA 4:4 (2024) Article #S2R30.

Not yet appeared

The Far East Paper, will be posted later .
ARITHMETIC OF SUPERSINGULAR KOBLITZ CURVES IN CHARACTERISTIC THREE, R. Avanzi, C. Heuberger, H. Prodinger, available as a technical report from Heuberger's website.
Introduction to Philippe Flajolet's work on the register function and related topics, H. Prodinger. Submitted as an introductory section within the collected papers of Philippe Flajolet. Perhaps to appear in 2030.
A closed formula for the generating function of $p$-Bernoulli numbers: An elementary proof, Helmut Prodinger and Sarah J. Selkirk.
A hypergeometric proof for a binomial identity related to 1/\pi, B. Hackl and H. Prodinger.
Two new identities involving the Catalan numbers: A classical approach, H. Prodinger.
Single sums for Fibonacci and Lucas polynomials, H. Prodinger.
Skew Dyck paths, H. Prodinger.
Peakless Motzkin paths of bounded height, H. Prodinger.
Grand Motzkin paths and $\{0,1,2\}$-trees -- a simple bijection, H. Prodinger.
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