A029440 Expansion of 1/((1-x^7)(1-x^9)(1-x^11)(1-x^12)).

1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3, 4, 4, 4, 5, 5, 5, 6, 5, 6, 6, 6, 6, 7, 7, 7, 9, 8, 9, 9, 9, 9, 10, 10, 10, 12, 11, 12, 13, 13, 13, 14, 14, 14, 16, 15

Offset

0,19

Links

Table of n, a(n) for n=0..73.

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

Mathematica

CoefficientList[Series[1/((1-x^7)(1-x^9)(1-x^11)(1-x^12)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 11 2020 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, -1, 0, -1, -1, -1, -1, 0, -1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 3, 2, 3, 3, 3, 3, 4, 3, 3}, 80] (* Harvey P. Dale, Jan 29 2021 *)

Crossrefs

Sequence in context: A246140 A071709 A131406 * A061337 A352767 A253051

Adjacent sequences: A029437 A029438 A029439 * A029441 A029442 A029443

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved