A029230 Expansion of 1/((1-x^2)(1-x^7)(1-x^9)(1-x^10)).

1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 4, 3, 5, 4, 6, 5, 6, 6, 7, 7, 8, 9, 10, 10, 12, 11, 13, 12, 15, 14, 17, 17, 19, 19, 21, 21, 23, 23, 26, 26, 29, 29, 32, 32, 35, 35, 38, 38, 42, 42, 46, 46, 50, 50, 54, 54, 58, 59

Offset

0,10

Comments

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

Mathematica

CoefficientList[Series[1/((1 - x^2) (1 - x^7) (1 - x^9) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 02 2014 *)
LinearRecurrence[{0, 1, 0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0, -1, -1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 2, 4, 3, 5, 4, 6, 5, 6, 6, 7, 7, 8, 9}, 100] (* Harvey P. Dale, May 15 2017 *)

Crossrefs

Sequence in context: A035250 A165054 A067743 * A280945 A349949 A196067

Adjacent sequences: A029227 A029228 A029229 * A029231 A029232 A029233

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved