A029091 Expansion of 1/((1-x)*(1-x^5)*(1-x^7)*(1-x^8)).

1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 18, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 45, 48, 51, 55, 59, 63, 67, 71, 76, 80, 85, 90, 95, 101, 106, 112, 118, 124, 131, 137, 144, 151, 158, 166

Offset

0,6

Comments

Number of partitions of n into parts 1, 5, 7 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,-1,1,0,-1,0,0,-1,0,1,-1,1,0,0,0,1,-1).

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - x^5) (1 - x^7) (1 - x^8)), {x, 0, 100}], x] (* Vincenzo Librandi, May 30 2017 *)

Prog

(PARI) Vec(1/((1-x)*(1-x^5)*(1-x^7)*(1-x^8)) + O(x^60)) \\ Michel Marcus, May 30 2017

Crossrefs

Sequence in context: A249036 A096607 A103416 * A175858 A272613 A245433

Adjacent sequences: A029088 A029089 A029090 * A029092 A029093 A029094

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved