cp's OEIS Frontend

A180287 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 7.

%I A180287 #13 Aug 17 2018 13:48:39
%S A180287 7,56,324,1650,7865,36036,160888,705341,3050775,13058840,55439448,
%T A180287 233792568,980496216,4093094950,17019665530,70531676215,291437684571,
%U A180287 1201142528876,4939265410000,20270259161100,83038283251560,339624292672665,1387038195648525
%N A180287 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 7.
%H A180287 Alois P. Heinz, <a href="/A180287/b180287.txt">Table of n, a(n) for n = 7..1669</a> (terms n=7..59 from R. H. Hardin)
%p A180287 b:= proc(n, i, k) option remember; `if`(n=0, 1,
%p A180287       `if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
%p A180287     end:
%p A180287 a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(7):
%p A180287 seq(a(n), n=7..30);  # _Alois P. Heinz_, Aug 17 2018
%Y A180287 Column 7 of A180281.
%K A180287 nonn
%O A180287 7,1
%A A180287 _R. H. Hardin_, Aug 24 2010