A025884 Expansion of 1/((1-x^5)*(1-x^7)*(1-x^10)).

1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 3, 1, 2, 0, 2, 3, 1, 3, 1, 2, 4, 2, 3, 1, 3, 5, 2, 4, 2, 3, 6, 3, 5, 2, 4, 7, 3, 6, 3, 5, 8, 4, 7, 3, 6, 9, 5, 8, 4, 7, 10, 6, 9, 5, 8, 11, 7, 10, 6, 9, 13, 8, 11, 7, 10, 14, 9, 13

Offset

0,11

Comments

a(n) is the number of partitions of n into parts 5, 7, and 10. - 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 (0,0,0,0,1,0,1,0,0,1,0,-1,0,0,-1,0,-1,0,0,0,0,1).

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^7)(1-x^10)), {x, 0, 80}], x] (* Harvey P. Dale, Jan 29 2020 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^5)*(1-x^7)*(1-x^10)))); // Vincenzo Librandi, Jan 30 2020
(SageMath)
def A025884_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( 1/((1-x^5)*(1-x^7)*(1-x^10)) ).list()
A025884_list(90) # G. C. Greubel, Nov 18 2022

Crossrefs

Cf. A025882, A025883, A025885, A025886.

Sequence in context: A242081 A190487 A054528 * A352427 A257024 A334996

Adjacent sequences: A025881 A025882 A025883 * A025885 A025886 A025887

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved