A025922 Expansion of 1/((1-x^8)(1-x^11)(1-x^12)).

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

Offset

0,25

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, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n)= +a(n-8) +a(n-11) +a(n-12) -a(n-19) -a(n-20) -a(n-23) +a(n-31). - R. J. Mathar, Jul 19 2014

Mathematica

CoefficientList[Series[1/((1-x^8)(1-x^11)(1-x^12)), {x, 0, 120}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1}, 120] (* Harvey P. Dale, Aug 18 2019 *)

Crossrefs

Sequence in context: A125203 A023565 A321925 * A342322 A161369 A151843

Adjacent sequences: A025919 A025920 A025921 * A025923 A025924 A025925

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved