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A180287
Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 7.
1
7, 56, 324, 1650, 7865, 36036, 160888, 705341, 3050775, 13058840, 55439448, 233792568, 980496216, 4093094950, 17019665530, 70531676215, 291437684571, 1201142528876, 4939265410000, 20270259161100, 83038283251560, 339624292672665, 1387038195648525
OFFSET
7,1
LINKS
Alois P. Heinz, Table of n, a(n) for n = 7..1669 (terms n=7..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))(7):
seq(a(n), n=7..30); # Alois P. Heinz, Aug 17 2018
CROSSREFS
Column 7 of A180281.
Sequence in context: A237647 A047664 A055345 * A082140 A264693 A054614
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 24 2010
STATUS
approved