A029244 Expansion of 1/((1-x^2)*(1-x^10)*(1-x^11)*(1-x^12)).

1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 3, 1, 3, 1, 3, 1, 3, 1, 4, 2, 6, 3, 7, 3, 7, 3, 7, 3, 8, 4, 10, 6, 12, 7, 13, 7, 13, 7, 14, 8, 16, 10, 19, 12, 21, 13, 22, 13, 23, 14, 25, 16, 28, 19, 31, 21, 33, 22, 35, 23, 37, 25, 40, 28, 44

Offset

0,11

Comments

Number of partitions of n into parts 2, 10, 11, and 12. - Vincenzo Librandi, Jun 03 2014

Links

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

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

Formula

a(n) = floor((n^3+69*n^2+1404*n+9856)/15840 - (n mod 2)*(n^2+35*n+255)/480 + (((n+2) mod 10) - ((n+6) mod 10))/50 + (((n^3+3*n^2+7*n) mod 11) + ((n+8) mod 11) - (n mod 11))/11). - Hoang Xuan Thanh, Jun 18 2026

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^10) (1 - x^11) (1 - x^12)), {x, 0, 70}], x] (* Harvey P. Dale, May 14 2011 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^10)*(1-x^11)*(1-x^12)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

Crossrefs

Sequence in context: A079728 A382622 A181801 * A067513 A116372 A232465

Adjacent sequences: A029241 A029242 A029243 * A029245 A029246 A029247

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved