A025895 - OEIS

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A025895

Expansion of 1/((1-x^5)*(1-x^10)*(1-x^12)).

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

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

OFFSET

0,11

COMMENTS

a(n) is the number of partitions of n into parts 5, 10, and 12. - Joerg Arndt, Jan 17 2024

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

MATHEMATICA

CoefficientList[Series[1/((1-x^5)(1-x^10)(1-x^12)), {x, 0, 100}], x] (* Harvey P. Dale, Mar 30 2011 *)

PROG

(Magma) R<x>:=PowerSeriesRing(Integers(), 120); Coefficients(R!( 1/((1-x^5)*(1-x^10)*(1-x^12)) )); // G. C. Greubel, Jan 17 2024