A180289 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 9.

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: A044641 A165135 A277105 * A210088 A261315 A270242

Adjacent sequences: A180286 A180287 A180288 * A180290 A180291 A180292

Keyword

nonn

Author

R. H. Hardin, Aug 24 2010

Status

approved