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

Author

Alois P. Heinz, May 31 2015

Keywords

• nonn

Links

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

Crossrefs

Column k=10 of A256193.

Programs

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);