Motzkin numbers of higher rank: Generating function and explicit expression

Details Motzkin numbers of higher rank: Generating function and explicit expression Motzkin numbers of higher rank: Generating function and explicit expression

2007-04-21

arxiv.org/abs/0704.2813v2

J. Integer Seq. 10 (2007), Article 07.7.4

Mathematics

Combinatorics

Scientific paper

The generating function and an explicit expression is derived for the
(colored) Motzkin numbers of higher rank introduced recently. Considering the
special case of rank one yields the corresponding results for the conventional
colored Motzkin numbers for which in addition a recursion relation is given.

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