A180288 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 8.

8, 72, 450, 2420, 12012, 56784, 259896, 1162800, 5116200, 22225256, 95585220, 407785239, 1728221950, 7284060210, 30558007920, 127687306230, 531713205764, 2207528270000, 9140975106900, 37763141619645, 155684014548300, 640640532117270, 2631842094963600

Offset

8,1

Links

Alois P. Heinz, Table of n, a(n) for n = 8..1667 (terms n=8..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))(8):
seq(a(n), n=8..35);  # Alois P. Heinz, Aug 17 2018

Crossrefs

Column 8 of A180281.

Sequence in context: A239095 A189954 A271028 * A082141 A304826 A270241

Adjacent sequences: A180285 A180286 A180287 * A180289 A180290 A180291

Keyword

nonn

Author

R. H. Hardin, Aug 24 2010

Status

approved