A029215 Expansion of 1/((1-x^2)*(1-x^6)*(1-x^7)*(1-x^9)).

1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 7, 5, 8, 7, 9, 8, 11, 10, 12, 13, 14, 14, 17, 16, 19, 19, 22, 21, 26, 24, 28, 28, 31, 31, 36, 35, 39, 40, 43, 43, 49, 48, 53, 54, 58, 58, 65, 64, 70, 71, 76, 76, 84, 83

Offset

0,7

Comments

Number of partitions of n into parts 2, 6, 7, and 9. - 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 (0,1,0,0,0,1,1,-1,0,0,-1,0,-1,0,0,-1,1,1,0,0,0,1,0,-1).

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^6) (1 - x^7) (1 - x^9)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)
LinearRecurrence[{0, 1, 0, 0, 0, 1, 1, -1, 0, 0, -1, 0, -1, 0, 0, -1, 1, 1, 0, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 7, 5, 8, 7, 9, 8}, 100] (* Harvey P. Dale, Jul 20 2023 *)

Prog

(PARI) Vec(1/((1-x^2)*(1-x^6)*(1-x^7)*(1-x^9)) + O(x^80)) \\ Jinyuan Wang, Mar 15 2020

Crossrefs

Sequence in context: A058776 A233296 A029228 * A240649 A226942 A030371

Adjacent sequences: A029212 A029213 A029214 * A029216 A029217 A029218

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved