A025889 Expansion of 1/((1-x^5)*(1-x^8)*(1-x^11)).

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

Offset

0,17

Comments

a(n) is the number of partitions of n into parts 5, 8, and 11. - 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 (0,0,0,0,1,0,0,1,0,0,1,0,-1,0,0,-1,0,0,-1,0,0,0,0,1).

Mathematica

CoefficientList[Series[1/((1-x^5)*(1-x^8)*(1-x^11)), {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^11)) )); // G. C. Greubel, Dec 11 2022
(SageMath)
def A025889_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( 1/((1-x^5)*(1-x^8)*(1-x^11)) ).list()
A025889_list(90) # G. C. Greubel, Dec 11 2022

Crossrefs

Cf. A025887, A025888, A025890.

Sequence in context: A179181 A153246 A358006 * A126306 A287356 A029402

Adjacent sequences: A025886 A025887 A025888 * A025890 A025891 A025892

Keyword

nonn

Author

N. J. A. Sloane

Status

approved