A029437 Expansion of 1/((1-x^7)(1-x^8)(1-x^11)(1-x^12)).

1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3, 4, 4, 5, 4, 5, 6, 6, 5, 6, 7, 7, 6, 7, 8, 8, 7, 9, 10, 10, 9, 10, 11, 11, 10, 12, 13, 13, 12, 14, 15, 15, 14, 16, 17, 17

Offset

0,20

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, -2, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1).

Mathematica

CoefficientList[Series[1/((1 - x^7)*(1 - x^8)*(1 - x^11)*(1 - x^12)), {x, 0, 50}], x] (* G. C. Greubel, Apr 20 2017 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, -2, -1, 0, 0, -1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 3}, 80] (* Harvey P. Dale, May 23 2021 *)

Prog

(PARI) x='x+O('x^50); Vec(1/((1 - x^7)*(1 - x^8)*(1 - x^11)*(1 - x^12))) \\ G. C. Greubel, Apr 20 2017

Crossrefs

Sequence in context: A003646 A201503 A112758 * A227908 A240473 A286569

Adjacent sequences: A029434 A029435 A029436 * A029438 A029439 A029440

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved