A025882 Expansion of 1/((1-x^5)*(1-x^7)*(1-x^8)).

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

Offset

0,16

Comments

a(n) is the number of partitions of n into parts 5, 7, and 8. - Joerg Arndt, Nov 19 2022

Links

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

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

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^7)(1-x^8)), {x, 0, 100}], x] (* Harvey P. Dale, May 29 2021 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Rationals(), 80); Coefficients(R!( 1/((1-x^5)*(1-x^7)*(1-x^8)) )); // G. C. Greubel, Nov 18 2022
(SageMath)
def A025882_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( 1/((1-x^5)*(1-x^7)*(1-x^8)) ).list()
A025882_list(80) # G. C. Greubel, Nov 18 2022

Crossrefs

Cf. A025883, A025884, A025885, A025886.

Sequence in context: A112191 A328523 A025887 * A025876 A109035 A244231

Adjacent sequences: A025879 A025880 A025881 * A025883 A025884 A025885

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved