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

Author

R. H. Hardin, Aug 24 2010

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..1665 (terms n=10..59 from R. H. Hardin)

Crossrefs

Column 10 of A180281.

Programs

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