A293250 G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m) + 4!*x^(4*m) + 5!*x^(5*m)).

1, 1, 3, 8, 30, 133, 48, 181, 262, 530, 738, 1750, 1939, 5672, 6704, 20065, 11306, 20362, 36780, 53926, 77234, 116988, 146955, 219604, 353518, 479638, 643753, 1156116, 1393784, 1778612, 3767018, 3224712, 4227504, 6058692, 9406426, 13136745, 15425494, 19723654

Offset: 0

Author

Seiichi Manyama, Oct 03 2017

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..500

Crossrefs

Column k=5 of A293202.

Programs

Maple

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
      add(b(n-i*j, i-1)*j!, j=0..min(5, n/i))))
    end:
a:= n-> b(n$2):
seq(a(n), n=0..50);  # Alois P. Heinz, Oct 04 2017