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A180285 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 5.

%I A180285 #10 Aug 17 2018 13:50:40
%S A180285 5,30,147,672,2970,12825,54450,228294,948090,3907995,16011905,
%T A180285 65280800,265055772,1072443810,4326290424,17407489065,69884197635,
%U A180285 280002750720,1119913829375,4472279679846,17834705765630,71032337773930,282586675707180,1123047360182475
%N A180285 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 5.
%H A180285 Alois P. Heinz, <a href="/A180285/b180285.txt">Table of n, a(n) for n = 5..1687</a> (terms n=5..59 from R. H. Hardin)
%p A180285 b:= proc(n, i, k) option remember; `if`(n=0, 1,
%p A180285       `if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
%p A180285     end:
%p A180285 a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(5):
%p A180285 seq(a(n), n=5..30);  # _Alois P. Heinz_, Aug 17 2018
%Y A180285 Column 5 of A180281.
%K A180285 nonn
%O A180285 5,1
%A A180285 _R. H. Hardin_, Aug 24 2010