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A180288 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 8.

%I A180288 #13 Aug 17 2018 13:47:44
%S A180288 8,72,450,2420,12012,56784,259896,1162800,5116200,22225256,95585220,
%T A180288 407785239,1728221950,7284060210,30558007920,127687306230,
%U A180288 531713205764,2207528270000,9140975106900,37763141619645,155684014548300,640640532117270,2631842094963600
%N A180288 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 8.
%H A180288 Alois P. Heinz, <a href="/A180288/b180288.txt">Table of n, a(n) for n = 8..1667</a> (terms n=8..59 from R. H. Hardin)
%p A180288 b:= proc(n, i, k) option remember; `if`(n=0, 1,
%p A180288       `if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
%p A180288     end:
%p A180288 a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(8):
%p A180288 seq(a(n), n=8..35);  # _Alois P. Heinz_, Aug 17 2018
%Y A180288 Column 8 of A180281.
%K A180288 nonn
%O A180288 8,1
%A A180288 _R. H. Hardin_, Aug 24 2010