A029086 Expansion of 1/((1-x)*(1-x^5)*(1-x^6)*(1-x^8)).

1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16, 18, 20, 22, 24, 27, 29, 32, 34, 37, 40, 44, 47, 51, 54, 58, 62, 67, 71, 76, 80, 86, 91, 97, 102, 108, 114, 121, 127, 135, 141, 149, 156, 164, 172, 181

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 6 and 8. - 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, 1, -1, 0, -1, 1, -1, 0, 1, 0, 0, 0, 1, -1).

Formula

G.f.: 1/((1 - x)*(1 - x^5)*(1 - x^6)*(1 - x^8)).

Mathematica

CoefficientList[Series[1/((1-x)(1-x^5)(1-x^6)(1-x^8)), {x, 0, 100}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 1, 0, -1, 1, -1, 0, -1, 1, -1, 0, 1, 0, 0, 0, 1, -1}, {1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 10, 12, 13, 15, 16}, 100] (* Harvey P. Dale, Dec 08 2016 *)

Crossrefs

Sequence in context: A079420 A076895 A282029 * A070046 A130120 A204892

Adjacent sequences: A029083 A029084 A029085 * A029087 A029088 A029089

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved