A029279 Expansion of 1/((1-x^3)(1-x^5)(1-x^7)(1-x^10)).

1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 3, 2, 4, 3, 4, 4, 4, 7, 5, 6, 7, 7, 9, 8, 10, 10, 10, 14, 12, 13, 15, 15, 18, 17, 19, 20, 20, 25, 23, 25, 27, 27, 32, 30, 33, 35, 35, 41, 39, 42, 44, 45, 51, 49, 53, 55, 56, 63, 61, 65

Offset

0,11

Comments

Number of partitions of n into parts 3, 5, 7, and 10. - Vincenzo Librandi, Jun 03 2014

Links

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

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

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^7) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)
LinearRecurrence[{0, 0, 1, 0, 1, 0, 1, -1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 1, 0, 1, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 3, 1, 2, 3, 2, 4, 3, 4, 4, 4, 7, 5, 6, 7, 7}, 70] (* Harvey P. Dale, Oct 05 2015 *)

Crossrefs

Sequence in context: A232269 A305391 A165084 * A274514 A342932 A026181

Adjacent sequences: A029276 A029277 A029278 * A029280 A029281 A029282

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved