A025875 - OEIS

A025875

Expansion of 1/((1-x^4)*(1-x^11)*(1-x^12)).

1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 5, 2, 3, 4, 6, 2, 3, 4, 6, 2, 3, 5, 7, 3, 4, 6, 8, 3, 4, 6, 8, 3, 5, 7, 9, 4, 6, 8, 10, 4, 6, 8, 10, 5, 7, 9

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,13

COMMENTS

a(n) is the number of partitions of n into parts 4, 11, and 12. - Joerg Arndt, Apr 29 2017

LINKS

Jinyuan Wang, Table of n, a(n) for n = 0..1000

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

FORMULA

G.f.: 1/((1-x^4)(1-x^11)(1-x^12)).

MATHEMATICA

CoefficientList[Series[1/((1 - x^4) (1 - x^11) (1 - x^12)), {x, 0, 100}], x] (* Wesley Ivan Hurt, Apr 28 2017 *)

LinearRecurrence[{0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 3, 0, 1}, 100] (* Harvey P. Dale, May 05 2018 *)

PROG

(PARI) Vec(1/((1-x^4)*(1-x^11)*(1-x^12))+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012

CROSSREFS

Sequence in context: A357637 A130731 A287240 * A026840 A357648 A025873

Adjacent sequences: A025872 A025873 A025874 * A025876 A025877 A025878

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved