Genocchi Number
A number given by the Generating Function
It satisfies
, 
, and even coefficients are given by |  |  | |
|  |
where
is a Bernoulli Number and 
is an Euler Polynomial. The first few Genocchi numbers for 
Even are 
, 1, 
, 17, 
, 2073, ... (Sloane's A001469).See also Bernoulli Number, Euler Polynomial
References
Comtet, L. Advanced Combinatorics: The Art of Finite and Infinite Expansions, rev. enl. ed. Dordrecht, Netherlands: Reidel, p. 49, 1974. Kreweras, G. ``An Additive Generation for the Genocchi Numbers and Two of its Enumerative Meanings.'' Bull. Inst. Combin. Appl. 20, 99-103, 1997. Kreweras, G. ``Sur les permutations comptées par les nombres de Genocchi de 1-ière et 2-ième espèce.'' Europ. J. Comb. 18, 49-58, 1997. Sloane, N. J. A. SequenceA001469/M3041in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.
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