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A275098 Number of set partitions of [9*n] such that within each block the numbers of elements from all residue classes modulo 9 are equal. 2
1, 1, 257, 1699300, 112660505345, 44687884101953126, 76502602935955053437072, 451167428778794282789329512425, 7771744024861563765933540267436016385, 344735749788852590196707169431958672823413322, 35650419033178479865362827431736721104304210986866382 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..82

J.-M. Sixdeniers, K. A. Penson and A. I. Solomon, Extended Bell and Stirling Numbers From Hypergeometric Exponentiation, J. Integer Seqs. Vol. 4 (2001), #01.1.4.

MAPLE

a:= proc(n) option remember; `if`(n=0, 1, add(

      binomial(n, j)^9*(n-j)*a(j), j=0..n-1)/n)

    end:

seq(a(n), n=0..12);

CROSSREFS

Column k=9 of A275043.

Sequence in context: A283510 A103349 A291506 * A194155 A238614 A308672

Adjacent sequences:  A275095 A275096 A275097 * A275099 A275100 A275101

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jul 16 2016

STATUS

approved

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Last modified January 25 01:49 EST 2020. Contains 331229 sequences. (Running on oeis4.)