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A180287 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 7. 1
7, 56, 324, 1650, 7865, 36036, 160888, 705341, 3050775, 13058840, 55439448, 233792568, 980496216, 4093094950, 17019665530, 70531676215, 291437684571, 1201142528876, 4939265410000, 20270259161100, 83038283251560, 339624292672665, 1387038195648525 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..1669 (terms n=7..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))(7):

seq(a(n), n=7..30);  # Alois P. Heinz, Aug 17 2018

CROSSREFS

Column 7 of A180281.

Sequence in context: A237647 A047664 A055345 * A082140 A264693 A054614

Adjacent sequences:  A180284 A180285 A180286 * A180288 A180289 A180290

KEYWORD

nonn

AUTHOR

R. H. Hardin, Aug 24 2010

STATUS

approved

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Last modified September 15 16:30 EDT 2019. Contains 327078 sequences. (Running on oeis4.)