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A229249 Number of set partitions of {1,...,n} with largest set of size 7. 2
1, 8, 72, 600, 4950, 41184, 348348, 3008148, 26608725, 241395440, 2247683152, 21485909952, 210840271980, 2123351405280, 21937875152760, 232419281905272, 2523691371079725, 28070949453307992, 319668800125675000, 3725037254807468600, 44393091629344788330 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..500

FORMULA

E.g.f.: exp(Sum_{j=1..7} x^j/j!) - exp(Sum_{j=1..6} x^j/j!).

MAPLE

G:= proc(n, k) option remember; local j; if k>n then G(n, n)

      elif n=0 then 1 elif k<1 then 0 else G(n-k, k);

      for j from k-1 to 1 by -1 do %*(n-j)/j +G(n-j, k) od; % fi

    end:

a:= n-> G(n, 7)-G(n, 6):

seq(a(n), n=7..30);

CROSSREFS

Column k=7 of A080510.

Sequence in context: A052379 A246940 A158798 * A242160 A062541 A057091

Adjacent sequences:  A229246 A229247 A229248 * A229250 A229251 A229252

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 17 2013

STATUS

approved

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Last modified November 22 13:47 EST 2019. Contains 329393 sequences. (Running on oeis4.)