A025924 Expansion of 1/((1-x^9)*(1-x^10)*(1-x^12)).

1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 3, 2, 2, 2, 2, 1, 3, 2, 2, 3, 3, 2, 4, 2, 2, 3, 3, 2, 4, 3, 3, 4, 4, 2, 5, 3, 3, 4, 4, 3, 5, 4

Offset

0,31

Links

Table of n, a(n) for n=0..79.

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

Formula

a(n)= +a(n-9) +a(n-10) +a(n-12) -a(n-19) -a(n-21) -a(n-22) +a(n-31). - R. J. Mathar, Jul 19 2014

Mathematica

CoefficientList[Series[1/((1-x^9)(1-x^10)(1-x^12)), {x, 0, 90}], x] (* or *) LinearRecurrence[ {0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2}, 90] (* Harvey P. Dale, Jun 19 2022 *)

Crossrefs

Sequence in context: A225192 A262432 A135694 * A025904 A137993 A353329

Adjacent sequences: A025921 A025922 A025923 * A025925 A025926 A025927

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved