A029176 Expansion of 1/((1-x^2)*(1-x^4)*(1-x^5)*(1-x^11)).

1, 0, 1, 0, 2, 1, 2, 1, 3, 2, 4, 3, 5, 4, 6, 6, 8, 7, 9, 9, 12, 11, 14, 13, 17, 16, 20, 19, 23, 22, 27, 26, 31, 30, 35, 35, 40, 40, 45, 45, 51, 51, 57, 57, 64, 64, 71, 71, 79, 79, 87, 87, 96, 96, 105, 106, 115, 116, 125, 127

Offset

0,5

Comments

Number of partitions of n into parts 2, 4, 5, and 11. - Hoang Xuan Thanh, Oct 09 2025

Links

Table of n, a(n) for n=0..59.

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

Formula

a(n) = floor((n^3+33*n^2+404*n+1680)/2640 - (n+4)*(n mod 2)/16 + ((6*n^3+4*n+4) mod 11)/11). - Hoang Xuan Thanh, Oct 09 2025

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^4)(1-x^5)(1-x^11)), {x, 0, 60}], x] (* Harvey P. Dale, Jan 31 2012 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^4)*(1-x^5)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A321298 A261554 A161229 * A394325 A161053 A161257

Adjacent sequences: A029173 A029174 A029175 * A029177 A029178 A029179

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved