A029284 Expansion of 1/((1-x^3)(1-x^5)(1-x^8)(1-x^11)).

1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 3, 5, 4, 5, 6, 5, 7, 7, 7, 9, 8, 9, 11, 10, 12, 13, 12, 15, 15, 15, 18, 17, 19, 21, 20, 23, 24, 24, 27, 27, 29, 31, 31, 34, 35, 36, 39, 40, 42, 44, 45, 48, 50, 51, 54, 56

Offset

0,9

Comments

Number of partitions of n into parts 3, 5, 8, and 11. - Vincenzo Librandi, Jun 04 2014

Links

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

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

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^5) (1 - x^8) (1 - x^11)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 04 2014 *)
LinearRecurrence[{0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, -1}, {1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 3, 1, 2, 3, 2, 4, 3, 3, 5, 4, 5, 6, 5, 7, 7, 7}, 100] (* Harvey P. Dale, Feb 21 2024 *)

Prog

(PARI) Vec(1/((1-x^3)*(1-x^5)*(1-x^8)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020

Crossrefs

Sequence in context: A131376 A025840 A188542 * A123275 A112544 A198789

Adjacent sequences: A029281 A029282 A029283 * A029285 A029286 A029287

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved