A029436 Expansion of 1/((1-x^7)(1-x^8)(1-x^10)(1-x^12)).

1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 4, 2, 4, 3, 5, 3, 5, 4, 6, 4, 6, 5, 7, 5, 7, 6, 9, 6, 9, 7, 10, 7, 10, 9, 12, 9, 12, 10, 14, 10, 14, 12, 16, 12, 16, 14, 18, 14, 19, 16, 21

Offset

0,21

Links

Table of n, a(n) for n=0..72.

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

Mathematica

CoefficientList[Series[1/((1-x^7)(1-x^8)(1-x^10)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, -1, 0, -1, -1, -1, -1, 0, -1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 2, 2, 3, 2, 3, 3, 4, 2, 4, 3, 5}, 80] (* Harvey P. Dale, Nov 30 2022 *)

Crossrefs

Sequence in context: A345138 A343945 A081373 * A263274 A333940 A292997

Adjacent sequences: A029433 A029434 A029435 * A029437 A029438 A029439

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved