A029037 Expansion of 1/((1-x)(1-x^3)(1-x^4)(1-x^11)).

1, 1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 10, 12, 13, 15, 18, 20, 22, 25, 28, 31, 34, 38, 42, 46, 50, 55, 60, 65, 70, 76, 82, 88, 95, 102, 109, 117, 125, 133, 142, 151, 160, 170, 180, 191, 202, 213, 225, 238, 250, 263, 277, 291, 305, 320, 336, 352, 368, 385, 403, 421

Offset

0,4

Comments

Number of partitions of n into parts 1, 3, 4 and 11. - Ilya Gutkovskiy, May 14 2017

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

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

Mathematica

CoefficientList[Series[1/((1-x)(1-x^3)(1-x^4)(1-x^11)), {x, 0, 60}], x] (* Harvey P. Dale, Dec 13 2011 *)

Prog

(PARI) a(n)=round((4*n^3+114*n^2+936*n+2385-352*(n%3)+99*(-1)^n)/3168) \\ Tani Akinari, May 30 2014

Crossrefs

Sequence in context: A029038 A011877 A029064 * A017875 A039732 A011876

Adjacent sequences: A029034 A029035 A029036 * A029038 A029039 A029040

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved