A029434 Expansion of 1/((1-x^7)(1-x^8)(1-x^9)(1-x^12)).

1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 4, 3, 4, 5, 4, 4, 5, 6, 5, 6, 6, 7, 7, 6, 7, 9, 8, 8, 9, 10, 9, 10, 10, 12, 12, 11, 12, 14, 13, 13, 15, 16, 15, 16, 16, 18, 18, 18, 19

Offset

0,17

Links

Table of n, a(n) for n=0..71.

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

Mathematica

CoefficientList[Series[1/((1-x^7)(1-x^8)(1-x^9)(1-x^12)), {x, 0, 80}], x] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, -1, -1, -1, 0, -1, -1, -1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 4, 3, 4}, 80] (* Harvey P. Dale, Jun 28 2017 *)

Crossrefs

Sequence in context: A327519 A287917 A325615 * A358192 A156281 A002217

Adjacent sequences: A029431 A029432 A029433 * A029435 A029436 A029437

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved