A029275 Expansion of 1/((1-x^3)(1-x^5)(1-x^6)(1-x^10)).

1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 5, 4, 3, 6, 4, 6, 8, 6, 7, 9, 9, 10, 11, 11, 11, 16, 14, 14, 18, 16, 19, 23, 19, 22, 25, 26, 27, 30, 29, 30, 37, 36, 35, 42, 39, 44, 49, 46, 49, 54, 55, 58, 61, 62, 63, 73, 71, 72

Offset

0,7

Comments

Number of partitions of n into parts 3, 5, 6, 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, 1, 0, -1, -1, 1, -1, 0, -1, 1, -1, -1, 0, 1, 1, 0, 1, 0, 0, -1).

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^6) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)
LinearRecurrence[{0, 0, 1, 0, 1, 1, 0, -1, -1, 1, -1, 0, -1, 1, -1, -1, 0, 1, 1, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 3, 2, 2, 5, 4, 3, 6, 4, 6, 8, 6, 7}, 70] (* Harvey P. Dale, Sep 09 2016 *)

Crossrefs

Sequence in context: A243917 A254212 A033773 * A058739 A128627 A105422

Adjacent sequences: A029272 A029273 A029274 * A029276 A029277 A029278

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved