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A229248 Number of set partitions of {1,...,n} with largest set of size 6. 2
1, 7, 56, 420, 3150, 24024, 187110, 1497210, 12321309, 104379275, 910501592, 8176340536, 75557540604, 718108992888, 7015008076980, 70388350377492, 724955013327237, 7658820319677219, 82939240748756392, 920067296840668900, 10448713239329294930 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..500

FORMULA

E.g.f.: exp(Sum_{j=1..6} x^j/j!) - exp(Sum_{j=1..5} 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, 6)-G(n, 5):

seq(a(n), n=6..30);

CROSSREFS

Column k=6 of A080510.

Sequence in context: A122996 A092318 A092315 * A242159 A057090 A156362

Adjacent sequences:  A229245 A229246 A229247 * A229249 A229250 A229251

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 17 2013

STATUS

approved

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Last modified November 17 00:02 EST 2018. Contains 317275 sequences. (Running on oeis4.)