A180290 Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to 10.

10, 110, 792, 4732, 25480, 128520, 620160, 2899248, 13238478, 59366450, 262462010, 1147168890, 4967384268, 21343050399, 91106371800, 386747415000, 1633923070650, 6874432183125, 28818381635736, 120425375772240, 501810628742380, 2085780218807405, 8650033511799424

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