cp's OEIS Frontend

A180286 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 6.

%I A180286 #10 Aug 17 2018 13:49:40
%S A180286 6,42,224,1080,4950,22022,96030,412698,1754116,7391475,30931296,
%T A180286 128709040,533063220,2199009840,9040786150,37061007270,151538768920,
%U A180286 618244490589,2517320600894,10231810963750,41522339189370,168265272591000,681003190888020,2752938854265495
%N A180286 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 6.
%H A180286 Alois P. Heinz, <a href="/A180286/b180286.txt">Table of n, a(n) for n = 6..1675</a> (terms n=6..59 from R. H. Hardin)
%p A180286 b:= proc(n, i, k) option remember; `if`(n=0, 1,
%p A180286       `if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
%p A180286     end:
%p A180286 a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(6):
%p A180286 seq(a(n), n=6..30);  # _Alois P. Heinz_, Aug 17 2018
%Y A180286 Column 6 of A180281.
%K A180286 nonn
%O A180286 6,1
%A A180286 _R. H. Hardin_, Aug 24 2010