A025891 - OEIS

A025891

Expansion of 1/((1-x^5)*(1-x^9)*(1-x^10)).

1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 3, 0, 0, 1, 2, 3, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 6, 2, 3, 4, 5, 7, 2, 3, 4, 6, 8, 3, 4, 5, 7, 9, 3, 4, 6, 8, 10, 4, 5, 7, 9, 11, 4, 6, 8, 10, 12, 5, 7, 9

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

OFFSET

0,11

COMMENTS

a(n) is the number of partitions of n into parts 5, 9, and 10. - Michel Marcus, Dec 12 2022

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

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

MATHEMATICA

CoefficientList[Series[1/((1-x^5)(1-x^9)(1-x^10)), {x, 0, 80}], x] (* Harvey P. Dale, Mar 05 2019 *)

PROG

(Magma) R<x>:=PowerSeriesRing(Integers(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^9)*(1-x^10)) )); // G. C. Greubel, Dec 11 2022

(SageMath)

def A025891_list(prec):

P.<x> = PowerSeriesRing(ZZ, prec)

return P( 1/((1-x^5)*(1-x^9)*(1-x^10)) ).list()

A025891_list(90) # G. C. Greubel, Dec 11 2022

CROSSREFS

Sequence in context: A079126 A339086 A186336 * A341000 A120630 A248509

Adjacent sequences: A025888 A025889 A025890 * A025892 A025893 A025894

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved