A025885 Expansion of 1/((1-x^5)*(1-x^7)*(1-x^11)).

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

Offset

0,22

Comments

a(n) is the number of partitions of n into parts 5, 7, and 11. - 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 (0,0,0,0,1,0,1,0,0,0,1,-1,0,0,0,-1,0,-1,0,0,0,0,1).

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^7)(1-x^11)), {x, 0, 80}], x] (* Harvey P. Dale, Oct 14 2011 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Rationals(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^7)*(1-x^11)) )); // G. C. Greubel, Nov 18 2022
(SageMath)
def A025885_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( 1/((1-x^5)*(1-x^7)*(1-x^11)) ).list()
A025885_list(90) # G. C. Greubel, Nov 18 2022

Crossrefs

Cf. A025882, A025883, A025884, A025886.

Sequence in context: A345699 A212632 A359477 * A198337 A206483 A087011

Adjacent sequences: A025882 A025883 A025884 * A025886 A025887 A025888

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved