A034379 Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).

1, 2, 4, 7, 11, 17, 25, 35, 49, 66, 88, 115, 148, 188, 236, 293, 361, 440, 533, 640, 764, 906, 1068, 1252, 1461, 1696, 1961, 2257, 2588, 2956, 3365, 3817, 4317, 4867, 5472, 6135, 6861, 7653, 8517, 9456, 10477

Offset

0,2

Links

Table of n, a(n) for n=0..40.

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

Mathematica

CoefficientList[ Series[ 1/Product[1 - x^Fibonacci[i], {i, 1, 6}], {x, 0, 45}], x] (* Robert G. Wilson v, Oct 15 2016 *)

Prog

(PARI) a(n)=round((3*n^5+150*n^4+2740*n^3+22200*n^2+(76320-675*(n%2))*n+76450)/ 86400) \\ Tani Akinari, Jun 06 2014
(PARI) Vec(1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8) + O(x^80)) \\ Michel Marcus, Oct 15 2016

Crossrefs

Sequence in context: A028291 A067997 A175491 * A007000 A073472 A096914

Adjacent sequences: A034376 A034377 A034378 * A034380 A034381 A034382

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved