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A229251 Number of set partitions of {1,...,n} with largest set of size 9. 2

%I #4 Sep 17 2013 19:29:19

%S 1,10,110,1100,10725,104104,1016015,10032880,100643400,1028142830,

%T 10712984282,113961363880,1238298284860,13747432565790,

%U 155944562191220,1807325391776872,21396572780305250,258695925902828700,3193365395052825850,40233167990427412000

%N Number of set partitions of {1,...,n} with largest set of size 9.

%H Alois P. Heinz, <a href="/A229251/b229251.txt">Table of n, a(n) for n = 9..500</a>

%F E.g.f.: exp(Sum_{j=1..9} x^j/j!) - exp(Sum_{j=1..8} x^j/j!).

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

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

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

%p end:

%p a:= n-> G(n,9)-G(n,8):

%p seq(a(n), n=9..30);

%Y Column k=9 of A080510.

%K nonn

%O 9,2

%A _Alois P. Heinz_, Sep 17 2013

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Last modified August 30 12:27 EDT 2024. Contains 375543 sequences. (Running on oeis4.)