A029381 Expansion of 1/((1-x^5)(1-x^6)(1-x^7)(1-x^11)).

1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 7, 8, 8, 9, 9, 9, 10, 11, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36, 38

Offset

0,12

Links

Table of n, a(n) for n=0..66.

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

Mathematica

CoefficientList[Series[1/((1 - x^5) (1 - x^6) (1 - x^7) (1 - x^11)), {x, 0, 100}], x] (* Martin Ettl, Oct 21 2012*)
LinearRecurrence[{0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 3, 3, 2, 2, 3, 4, 4, 4, 4, 4, 5, 6}, 70] (* Harvey P. Dale, Jan 23 2023 *)

Prog

(PARI) Vec(1/((1-x^5)*(1-x^6)*(1-x^7)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020

Crossrefs

Sequence in context: A356225 A047070 A071127 * A343558 A297877 A027926

Adjacent sequences: A029378 A029379 A029380 * A029382 A029383 A029384

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved