A029201 Expansion of 1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^10)).

1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 3, 2, 4, 2, 5, 4, 5, 6, 5, 7, 8, 8, 10, 8, 12, 11, 13, 14, 14, 16, 18, 18, 21, 19, 24, 24, 26, 28, 28, 31, 34, 34, 39, 36, 43, 43, 46, 49, 49, 54, 57, 58, 64, 61, 70, 70, 75, 78, 79, 85, 89, 91

Offset

0,8

Comments

Number of partitions of n into parts 2, 5, 7, and 10. - Joerg Arndt, Jun 02 2014

Links

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

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

Formula

a(n) = floor((n+10)*(n^2+26*n+12)/4200 - (n+16)*(n mod 2)/40 + (n+10)*((3*n^2+2*n+2) mod 5)/50 + ((4*n^3+4*n^2+3*n+4) mod 7)/7). - Hoang Xuan Thanh, Oct 14 2025

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^5) (1 - x^7) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^5)*(1-x^7)*(1-x^10)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A302098 A112779 A366631 * A071283 A172986 A364642

Adjacent sequences: A029198 A029199 A029200 * A029202 A029203 A029204

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved