A029233 Expansion of 1/((1-x^2)*(1-x^7)*(1-x^10)*(1-x^11)).

1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 2, 3, 3, 4, 3, 5, 5, 6, 5, 7, 6, 7, 7, 9, 8, 10, 10, 12, 11, 13, 13, 14, 14, 16, 16, 18, 18, 21, 20, 23, 22, 25, 24, 27, 27, 30, 30, 33, 33, 36, 36, 39, 39, 42, 42, 46, 46, 50, 50

Offset

0,11

Comments

Number of partitions of n into parts 2, 7, 10, and 11. - 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 (0,1,0,0,0,0,1,0,-1,1,1,-1,-1,0,0,0,-1,-1,1,1,-1,0,1,0,0,0,0,1,0,-1).

Formula

a(n) = floor((n^3+45*n^2+722*n+768)/9240 - (n mod 2)*n/40 + ((5*n^3+n^2+5*n+4) mod 7)/7 + ((8*n^3+8*n^2+n+6) mod 11)/11). - Hoang Xuan Thanh, Jun 13 2026

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^7) (1 - x^10) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^7)*(1-x^10)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A351033 A318837 A070098 * A147981 A051888 A377014

Adjacent sequences: A029230 A029231 A029232 * A029234 A029235 A029236

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved