A258480 Number of partitions of n into two sorts of parts having exactly 10 parts of the second sort.

1, 12, 79, 377, 1457, 4836, 14289, 38493, 96151, 225486, 501180, 1063635, 2168132, 4265393, 8130869, 15067991, 27222865, 48062380, 83093629, 140925603, 234830485, 384989926, 621737584, 990119455, 1556378360, 2416887471, 3710698393, 5636503638, 8476224739

Offset

10,2

Links

Alois P. Heinz, Table of n, a(n) for n = 10..1000

Maple

b:= proc(n, i) option remember; series(`if`(n=0, 1,
      `if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
       binomial(j, t), t=0..min(10, j)), j=0..n/i))), x, 11)
    end:
a:= n-> coeff(b(n$2), x, 10):
seq(a(n), n=10..40);

Crossrefs

Column k=10 of A256193.

Sequence in context: A030116 A200036 A224775 * A035042 A061593 A344728

Adjacent sequences: A258477 A258478 A258479 * A258481 A258482 A258483

Keyword

nonn

Author

Alois P. Heinz, May 31 2015

Status

approved