A293255 G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m)).

1, -1, 1, -6, 0, 3, 4, -3, -8, 22, 12, 6, 3, -22, -62, 61, -2, 68, -166, 68, -14, -216, -53, 196, -12, 304, -15, -32, -322, 24, 274, -112, -294, 832, 638, -213, 918, -474, -570, -854, -1227, -1018, 3476, -2038, 588, -1382, 3520, -578, -248, -1314, -292, -8825

Offset

0,4

Links

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

Maple

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
      add(b(n-i*j, i-1)*j!*(-1)^j, j=0..min(3, n/i))))
    end:
a:= n-> b(n$2):
seq(a(n), n=0..60);  # Alois P. Heinz, Oct 04 2017

Crossrefs

Column k=3 of A293071.

Cf. A289485.

Sequence in context: A237421 A087014 A176906 * A355251 A094174 A105873

Adjacent sequences: A293252 A293253 A293254 * A293256 A293257 A293258

Keyword

sign

Author

Seiichi Manyama, Oct 04 2017

Status

approved