A029213 - OEIS

A029213

Expansion of 1/((1-x^2)*(1-x^5)*(1-x^11)*(1-x^12)).

1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 3, 4, 4, 4, 4, 5, 5, 7, 6, 8, 7, 9, 9, 10, 10, 11, 11, 13, 13, 15, 15, 17, 17, 19, 19, 21, 21, 23, 23, 26, 26, 29, 29, 32, 32, 35, 35, 38, 38, 41, 42, 45, 46, 49, 50, 54, 54, 58, 58

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OFFSET

0,11

COMMENTS

Number of partitions of n into parts 2, 5, 11, and 12. - Hoang Xuan Thanh, Oct 20 2025

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = floor((n^3+45*n^2+684*n+5904)/7920 - (n+26)*(n mod 2)/48 - ((4*n^3+n+1) mod 5)/5 + ((2*n^3+2*n^2+4*n+5) mod 11)/11). - Hoang Xuan Thanh, Oct 20 2025

MATHEMATICA

CoefficientList[Series[1/((1-x^2)(1-x^5)(1-x^11)(1-x^12)), {x, 0, 70}], x] (* Harvey P. Dale, Apr 10 2012 *)

PROG

(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^11)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

CROSSREFS

Sequence in context: A349198 A205018 A286716 * A029209 A384426 A282630

Adjacent sequences: A029210 A029211 A029212 * A029214 A029215 A029216

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved