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A180289
Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 9.
1
9, 90, 605, 3432, 17745, 86632, 406980, 1860480, 8335338, 36773397, 160286166, 691906090, 2963163525, 12606797973, 53339223410, 224614532520, 942028278750, 3936923432325, 16402410574875, 68151368796840, 282481941399420, 1168338215983320, 4822856224887175
OFFSET
9,1
LINKS
Alois P. Heinz, Table of n, a(n) for n = 9..1665 (terms n=9..59 from R. H. Hardin)
MAPLE
b:= proc(n, i, k) option remember; `if`(n=0, 1,
`if`(i=0, 0, add(b(n-j, i-1, k), j=0..min(n, k))))
end:
a:= n-> (k-> b(n$2, k)-b(n$2, k-1))(9):
seq(a(n), n=9..35); # Alois P. Heinz, Aug 17 2018
CROSSREFS
Column 9 of A180281.
Sequence in context: A165135 A277105 A377858 * A210088 A261315 A270242
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 24 2010
STATUS
approved