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A180290 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 10. 1
10, 110, 792, 4732, 25480, 128520, 620160, 2899248, 13238478, 59366450, 262462010, 1147168890, 4967384268, 21343050399, 91106371800, 386747415000, 1633923070650, 6874432183125, 28818381635736, 120425375772240, 501810628742380, 2085780218807405, 8650033511799424 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..1665 (terms n=10..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))(10):

seq(a(n), n=10..35);  # Alois P. Heinz, Aug 17 2018

CROSSREFS

Column 10 of A180281.

Sequence in context: A044723 A158492 A249845 * A110251 A270243 A276387

Adjacent sequences:  A180287 A180288 A180289 * A180291 A180292 A180293

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 24 2010

STATUS

approved

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)