A029248 Expansion of 1/((1-x^3)(1-x^4)(1-x^5)(1-x^10)).

1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 4, 4, 5, 5, 5, 7, 7, 9, 8, 9, 11, 12, 13, 13, 14, 17, 17, 20, 19, 21, 24, 25, 27, 28, 29, 33, 34, 38, 37, 40, 44, 46, 49, 50, 52, 58, 59, 64, 64, 68, 73, 76, 80, 82, 85, 92, 94, 101, 101

Offset

0,9

Comments

Number of partitions of n into parts 3, 4, 5, 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 (0,0,1,1,1,0,-1,-1,-1,1,0,1,-1,-1,-1,0,1,1,1,0,0,-1).

Mathematica

CoefficientList[Series[1/((1 - x^3) (1 - x^4) (1 - x^5) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, Jun 03 2014 *)
LinearRecurrence[{0, 0, 1, 1, 1, 0, -1, -1, -1, 1, 0, 1, -1, -1, -1, 0, 1, 1, 1, 0, 0, -1}, {1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 2, 3, 4, 4, 5, 5, 5, 7, 7, 9, 8}, 100] (* Harvey P. Dale, May 08 2024 *)

Prog

(PARI) Vec(1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^10)) + O(x^80)) \\ Jinyuan Wang, Mar 12 2020

Crossrefs

Sequence in context: A277194 A172151 A106250 * A085916 A286535 A350511

Adjacent sequences: A029245 A029246 A029247 * A029249 A029250 A029251

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved