A025900 Expansion of 1/((1-x^6)*(1-x^7)*(1-x^11)).

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

Offset

0,19

Comments

a(n) is the number of partitions of n into parts 6, 7, and 11. - Michel Marcus, Jan 23 2024

Links

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

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

Mathematica

CoefficientList[Series[1/((1-x^6)(1-x^7)(1-x^11)), {x, 0, 120}], x] (* Harvey P. Dale, Apr 30 2011 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^6)*(1-x^7)*(1-x^(11))) )); // G. C. Greubel, Jan 23 2024
(SageMath)
def A025900_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( 1/((1-x^6)*(1-x^7)*(1-x^(11)))).list()
A025900_list(100) # G. C. Greubel, Jan 23 2024

Crossrefs

Cf. A025896, A025897, A025898, A025899, A025901, A025902, A025903.

Sequence in context: A327168 A329037 A279794 * A118383 A115766 A108339

Adjacent sequences: A025897 A025898 A025899 * A025901 A025902 A025903

Keyword

nonn

Author

N. J. A. Sloane

Status

approved