A029079 Expansion of 1/((1-x)(1-x^4)(1-x^8)(1-x^11)).

1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 5, 7, 7, 7, 8, 11, 11, 11, 13, 16, 16, 17, 19, 23, 23, 24, 27, 31, 31, 33, 36, 41, 42, 44, 48, 53, 54, 57, 61, 67, 69, 72, 77, 84, 86, 90, 95, 103, 106, 110, 116, 125, 128, 133, 140, 150

Offset

0,5

Comments

Number of partitions of n into parts 1, 4, 8, and 11. - Joerg Arndt, Jul 06 2014

Links

Table of n, a(n) for n=0..56.

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

Mathematica

CoefficientList[Series[1/((1 - x) (1 - x^4) (1 - x^8) (1 - x^11)), {x, 0, 60}], x] (* Wesley Ivan Hurt, Jul 06 2014 *)
LinearRecurrence[{1, 0, 0, 1, -1, 0, 0, 1, -1, 0, 1, -2, 1, 0, -1, 1, 0, 0, -1, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 5, 7, 7, 7, 8, 11, 11, 11, 13, 16, 16, 17, 19}, 60] (* Harvey P. Dale, Jul 01 2015 *)

Prog

(PARI) a(n)=round((n+12)*(2*n^2+48*n+187+33*(-1)^n)/4224+(n+12-(n+7)*(n%2))*(-1)^(n\2)/32) \\ Tani Akinari, Jul 06 2014
(PARI) Vec(1/((1-x)*(1-x^4)*(1-x^8)*(1-x^11)) + O(x^70)) \\ Michel Marcus, Jul 06 2014

Crossrefs

Sequence in context: A092508 A032544 A200675 * A035398 A104409 A274144

Adjacent sequences: A029076 A029077 A029078 * A029080 A029081 A029082

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved