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A180286
Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 6.
1
6, 42, 224, 1080, 4950, 22022, 96030, 412698, 1754116, 7391475, 30931296, 128709040, 533063220, 2199009840, 9040786150, 37061007270, 151538768920, 618244490589, 2517320600894, 10231810963750, 41522339189370, 168265272591000, 681003190888020, 2752938854265495
OFFSET
6,1
LINKS
Alois P. Heinz, Table of n, a(n) for n = 6..1675 (terms n=6..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))(6):
seq(a(n), n=6..30); # Alois P. Heinz, Aug 17 2018
CROSSREFS
Column 6 of A180281.
Sequence in context: A326744 A054642 A082139 * A375259 A054613 A270239
KEYWORD
nonn
AUTHOR
R. H. Hardin, Aug 24 2010
STATUS
approved