Combinatorial interpretations of a generalization of the Genocchi numbers
Journal of integer sequences, Tome 7 (2004) no. 3
We consider a natural generalization of the well-studied Genocchi numbers first proposed by Han. This generalization proves useful in enumerating the class of deterministic finite automata (DFA) that accept a finite language, and in enumerating a generalization of permutations counted by Dumont.
Classification :
05A15, 68Q45
Keywords: Genocchi numbers, finite automata, enumeration of permutations
Keywords: Genocchi numbers, finite automata, enumeration of permutations
@article{JIS_2004__7_3_a4,
author = {Domaratzki, Michael},
title = {Combinatorial interpretations of a generalization of the {Genocchi} numbers},
journal = {Journal of integer sequences},
year = {2004},
volume = {7},
number = {3},
zbl = {1092.11010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a4/}
}
Domaratzki, Michael. Combinatorial interpretations of a generalization of the Genocchi numbers. Journal of integer sequences, Tome 7 (2004) no. 3. http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a4/