A029056 Expansion of 1/((1-x)*(1-x^3)*(1-x^8)*(1-x^11)).

1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 5, 7, 8, 8, 10, 11, 12, 14, 15, 17, 19, 20, 23, 25, 27, 30, 32, 35, 38, 40, 44, 47, 50, 55, 58, 62, 67, 70, 75, 80, 84, 90, 95, 100, 107, 112, 118, 125, 131, 138, 145, 152, 160, 167, 175

Offset

0,4

Comments

Number of partitions of n into parts 1, 3, 8 and 11. - Ilya Gutkovskiy, May 16 2017

Links

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

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

Mathematica

CoefficientList[Series[1/((1 - x)*(1 - x^3)*(1 - x^8)*(1 - x^11)), {x, 0, 50}], x] (* G. C. Greubel, May 17 2017 *)

Prog

(PARI) a(n)=floor((2*n^3+69*n^2+696*n+3312)/3168+[5, 1, -1, 4, -1, 0, 1, -4, 1, -1, -5][n%11+1]/11) \\ Tani Akinari, May 13 2014
(PARI) Vec(1/((1-x)*(1-x^3)*(1-x^8)*(1-x^11)) + O(x^100)) \\ Michel Marcus, May 13 2014

Crossrefs

Sequence in context: A174575 A029057 A087897 * A226503 A036847 A282379

Adjacent sequences: A029053 A029054 A029055 * A029057 A029058 A029059

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 1999

Status

approved