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A180288 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 8. 1
8, 72, 450, 2420, 12012, 56784, 259896, 1162800, 5116200, 22225256, 95585220, 407785239, 1728221950, 7284060210, 30558007920, 127687306230, 531713205764, 2207528270000, 9140975106900, 37763141619645, 155684014548300, 640640532117270, 2631842094963600 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)