A029168 Expansion of 1/((1-x^2)*(1-x^3)*(1-x^10)*(1-x^11)).

1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 9, 9, 11, 11, 13, 13, 15, 15, 17, 17, 20, 20, 23, 24, 26, 27, 30, 30, 33, 34, 37, 38, 42, 43, 47, 48, 52, 53, 57, 58, 63, 64, 69, 71, 76, 78, 83, 85, 90, 92, 98, 100

Offset

0,7

Comments

Number of partitions of n into parts 2, 3, 10, and 11. - Hoang Xuan Thanh, Oct 07 2025

Links

Table of n, a(n) for n=0..61.

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

Formula

a(n) = floor((131*n^3+69*n^2+(78-9*(n mod 2))*n+432)/360) - floor((4*n^3+2*n^2+n+8)/11). - Hoang Xuan Thanh, Oct 07 2025

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^10)(1-x^11)), {x, 0, 70}], x] (* Harvey P. Dale, Jul 22 2011 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^10)*(1-x^11))+O(x^99)) \\ Charles R Greathouse IV, Sep 27 2012

Crossrefs

Sequence in context: A029195 A242745 A285578 * A035454 A161228 A214130

Adjacent sequences: A029165 A029166 A029167 * A029169 A029170 A029171

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved