A025893 Expansion of 1/((1-x^5)*(1-x^9)*(1-x^12)).

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

Offset

0,25

Comments

a(n) is the number of partitions of n into parts 5, 9, and 12. - Joerg Arndt, Jan 17 2024

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

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

Mathematica

CoefficientList[Series[1/((1-x^5)(1-x^9)(1-x^12)), {x, 0, 80}], x] (* Harvey P. Dale, Jan 09 2017 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^5)*(1-x^9)*(1-x^12)) )); // G. C. Greubel, Jan 16 2024
(Sage)
def A025893_list(prec):
    P.<x> = PowerSeriesRing(QQ, prec)
    return P( 1/((1-x^5)*(1-x^9)*(1-x^12)) ).list()
A025893_list(100) # G. C. Greubel, Jan 16 2024

Crossrefs

Cf. A025890, A025891, A025892, A025894.

Sequence in context: A087890 A245077 A008676 * A296977 A025878 A143421

Adjacent sequences: A025890 A025891 A025892 * A025894 A025895 A025896

Keyword

nonn

Author

N. J. A. Sloane

Status

approved