A029029 Expansion of 1/((1-x)(1-x^2)(1-x^9)(1-x^12)).

1, 1, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 10, 11, 13, 14, 16, 17, 20, 21, 24, 26, 29, 31, 35, 37, 41, 44, 48, 51, 56, 59, 64, 68, 73, 77, 84, 88, 95, 100, 107, 112, 120, 125, 133, 140, 148, 155, 165, 172, 182, 190, 200, 208

Offset

0,3

Comments

Number of partitions of n into parts 1, 2, 9 and 12. - Ilya Gutkovskiy, May 14 2017

Links

Table of n, a(n) for n=0..53.

Index entries for linear recurrences with constant coefficients, signature (1,1,-1,0,0,0,0,0,1,-1,-1,2,-1,-1,1,0,0,0,0,0,-1,1,1,-1).

Formula

G.f.: 1/((1-x)(1-x^2)(1-x^9)(1-x^12)).

Mathematica

CoefficientList[Series[1/((1 - x) (1 - x^2) (1 - x^9) (1 - x^12)), {x, 0, 80}], x] (* Wesley Ivan Hurt, Feb 15 2017 *)

Crossrefs

Sequence in context: A194210 A112672 A025765 * A025157 A006141 A185229

Adjacent sequences: A029026 A029027 A029028 * A029030 A029031 A029032

Keyword

nonn

Author

N. J. A. Sloane

Status

approved