A025890 Expansion of 1/((1-x^5)*(1-x^8)*(1-x^12)).

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

Offset

0,21

Comments

a(n) is the number of partitions of n into parts 5, 8, and 12. - 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 (0,0,0,0,1,0,0,1,0,0,0,1,-1,0,0,0,-1,0,0,-1,0,0,0,0,1).

Mathematica

CoefficientList[Series[1/((1-x^5)*(1-x^8)*(1-x^12)), {x, 0, 90}], x] (* G. C. Greubel, Dec 11 2022 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Integers(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^8)*(1-x^12)) )); // G. C. Greubel, Dec 11 2022
(SageMath)
def A025890_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( 1/((1-x^5)*(1-x^8)*(1-x^12)) ).list()
A025890_list(90) # G. C. Greubel, Dec 11 2022

Crossrefs

Cf. A025887, A025888, A025889.

Sequence in context: A003641 A355241 A165190 * A334440 A316975 A043277

Adjacent sequences: A025887 A025888 A025889 * A025891 A025892 A025893

Keyword

nonn

Author

N. J. A. Sloane

Status

approved