A029227 Expansion of 1/((1-x^2)(1-x^7)(1-x^8)(1-x^10)).

1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 3, 1, 3, 1, 4, 2, 5, 3, 6, 3, 7, 4, 8, 5, 10, 6, 11, 7, 13, 8, 15, 10, 17, 11, 19, 13, 21, 15, 24, 17, 27, 19, 30, 21, 33, 24, 36, 27, 40, 30, 44, 33, 48, 36, 52, 40, 57, 44, 62, 48, 67, 52, 72, 57

Offset

0,9

Comments

Number of partitions of n into parts 2, 7, 8, and 10. - Vincenzo Librandi, Jun 02 2014

Links

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

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

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^7) (1 - x^8) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)
LinearRecurrence[{0, 1, 0, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 3, 1, 3, 1, 4, 2, 5, 3, 6, 3, 7, 4, 8, 5, 10, 6, 11}, 70] (* Harvey P. Dale, Dec 10 2024 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^7)*(1-x^8)*(1-x^10)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A082460 A318573 A344774 * A029214 A134460 A130158

Adjacent sequences: A029224 A029225 A029226 * A029228 A029229 A029230

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved