A029141 Expansion of 1/((1-x^2)(1-x^3)(1-x^4)(1-x^11)).

1, 0, 1, 1, 2, 1, 3, 2, 4, 3, 5, 5, 7, 6, 9, 9, 11, 11, 14, 14, 17, 17, 21, 21, 25, 25, 30, 30, 35, 35, 41, 41, 47, 48, 54, 55, 62, 63, 70, 72, 79, 81, 89, 91, 100, 102, 111, 114, 124, 126, 137, 140, 151, 154, 166, 170

Offset

0,5

Comments

Number of partitions of n into parts 2, 3, 4, and 11. - Joerg Arndt, Jun 20 2013

Links

Table of n, a(n) for n=0..55.

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

Formula

G.f.: 1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^11)).

a(n) = floor((198*(-1+(-1)^n)*(-1)^((n-1)*n/2)+(n+10)*(2*n^2+40*n+125+99*(-1)^n)+1216)/3168). - Tani Akinari, Jun 20 2013

a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-5) - a(n-6) - a(n-7) + a(n-9) + a(n-11) - a(n-13) - a(n-14) - a(n-15) + a(n-16) + a(n-17) + a(n-18) - a(n-20). - Wesley Ivan Hurt, Jun 05 2026

Mathematica

CoefficientList[Series[1/((1-x^2)(1-x^3)(1-x^4)(1-x^11)), {x, 0, 60}], x] (* Harvey P. Dale, Sep 07 2011 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^11)) + O(x^99)) \\ Jinyuan Wang, Mar 18 2020

Crossrefs

Sequence in context: A286220 A246581 A143619 * A257880 A240866 A230560

Adjacent sequences: A029138 A029139 A029140 * A029142 A029143 A029144

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved