A180287 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 7.

7, 56, 324, 1650, 7865, 36036, 160888, 705341, 3050775, 13058840, 55439448, 233792568, 980496216, 4093094950, 17019665530, 70531676215, 291437684571, 1201142528876, 4939265410000, 20270259161100, 83038283251560, 339624292672665, 1387038195648525

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