A029088 Expansion of 1/((1-x)(1-x^5)(1-x^6)(1-x^10)).

1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 6, 7, 7, 7, 9, 11, 12, 13, 13, 16, 18, 20, 21, 22, 25, 28, 30, 32, 33, 38, 41, 44, 46, 48, 53, 58, 61, 64, 66, 73, 78, 83, 86, 89, 96, 103, 108, 113, 116, 125, 132, 139, 144, 149, 158, 167

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 6 and 10. - Ilya Gutkovskiy, May 20 2017

Links

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

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,0,-1,0,0,1,-2,1,0,0,-1,0,1,0,0,0,1,-1).

Formula

G.f.: 1/((1-x)*(1-x^5)*(1-x^6)*(1-x^10)).

Mathematica

CoefficientList[Series[1/((1 - x) (1 - x^5) (1 - x^6) (1 - x^10)), {x, 0, 100}], x] (* Vincenzo Librandi, May 27 2017 *)
LinearRecurrence[{1, 0, 0, 0, 1, 0, -1, 0, 0, 1, -2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 6, 7, 7, 7, 9, 11, 12, 13, 13, 16, 18}, 60] (* Harvey P. Dale, Dec 13 2020 *)

Prog

(Magma) m:=70; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-x^5)*(1-x^6)*(1-x^10)))); // Vincenzo Librandi, May 27 2017

Crossrefs

Sequence in context: A329245 A155047 A369451 * A253591 A129263 A035367

Adjacent sequences: A029085 A029086 A029087 * A029089 A029090 A029091

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved