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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. 1

%I

%S 8,72,450,2420,12012,56784,259896,1162800,5116200,22225256,95585220,

%T 407785239,1728221950,7284060210,30558007920,127687306230,

%U 531713205764,2207528270000,9140975106900,37763141619645,155684014548300,640640532117270,2631842094963600

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

%H 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 b:= proc(n, i, k) option remember; `if`(n=0, 1,

%p `if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))

%p end:

%p a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(8):

%p seq(a(n), n=8..35); # _Alois P. Heinz_, Aug 17 2018

%Y Column 8 of A180281.

%K nonn

%O 8,1

%A _R. H. Hardin_, Aug 24 2010

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Last modified November 22 10:59 EST 2019. Contains 329389 sequences. (Running on oeis4.)