A029300 Expansion of 1/((1-x^3)(1-x^6)(1-x^8)(1-x^12)).

1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 4, 0, 2, 4, 1, 2, 6, 1, 4, 6, 2, 4, 10, 2, 6, 10, 4, 6, 14, 4, 10, 14, 6, 10, 20, 6, 14, 20, 10, 14, 26, 10, 20, 26, 14, 20, 35, 14, 26, 35, 20, 26, 44, 20, 35, 44, 26, 35, 56, 26, 44, 56, 35

Offset

0,7

Links

Table of n, a(n) for n=0..64.

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

Mathematica

CoefficientList[Series[1/((1-x^3)(1-x^6)(1-x^8)(1-x^12)), {x, 0, 100}], x] (* or *) LinearRecurrence[{0, 0, 1, 0, 0, 1, 0, 1, -1, 0, -1, 1, 0, -1, -1, 0, 1, -1, 0, -1, 1, 0, 1, 0, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 4, 0, 2, 4, 1, 2, 6, 1, 4, 6, 2, 4, 10, 2, 6, 10, 4}, 100] (* Harvey P. Dale, Jul 24 2017 *)

Crossrefs

Sequence in context: A283304 A058685 A351637 * A096397 A337547 A291969

Adjacent sequences: A029297 A029298 A029299 * A029301 A029302 A029303

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved