cp's OEIS Frontend

A229250 Number of set partitions of {1,...,n} with largest set of size 8.

%I A229250 #4 Sep 17 2013 19:22:43
%S A229250 1,9,90,825,7425,66924,609609,5643495,53275365,513949865,5072383602,
%T A229250 51247279161,530162317815,5616049288500,60907673202255,
%U A229250 676114396423257,7679484722988045,89216205660482175,1059689275333095550,12863300130089805825,159506272335882076605
%N A229250 Number of set partitions of {1,...,n} with largest set of size 8.
%H A229250 Alois P. Heinz, <a href="/A229250/b229250.txt">Table of n, a(n) for n = 8..500</a>
%F A229250 E.g.f.: exp(Sum_{j=1..8} x^j/j!) - exp(Sum_{j=1..7} x^j/j!).
%p A229250 G:= proc(n, k) option remember; local j; if k>n then G(n, n)
%p A229250       elif n=0 then 1 elif k<1 then 0 else G(n-k, k);
%p A229250       for j from k-1 to 1 by -1 do %*(n-j)/j +G(n-j, k) od; % fi
%p A229250     end:
%p A229250 a:= n-> G(n,8)-G(n,7):
%p A229250 seq(a(n), n=8..30);
%Y A229250 Column k=8 of A080510.
%K A229250 nonn
%O A229250 8,2
%A A229250 _Alois P. Heinz_, Sep 17 2013