On Carlitz compositions
Abstract.
This paper deals with Carlitz compositions of natural numbers
(adjacent parts have to be different). The following parameters
are analyzed: Number of parts, number of equal adjacent parts
in ordinary compositions, largest part, Carlitz compositions with
zeros allowed (correcting an erroneous formula from Carlitz).
It is also briefly demonstrated that so--called 1--compositions
of a natural number can be treated in a similar style.
helmut@gauss.cam.wits.ac.za,
arnoldk@gauss.cam.wits.ac.za,
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