A120657 Expansion of 2*x*(6 +59*x +257*x^2 - 294*x^3 -128*x^4)/((1-x)*(1+x)*(1-2*x)*(1+3*x)*(1-4*x)).

0, 12, 154, 1108, 4106, 19972, 73914, 323188, 1228906, 5144932, 19966874, 81856468, 321759306, 1304637892, 5166951034, 20825008948, 82833227306, 332742946852, 1326760898394, 5319714708628, 21240922384906, 85077652679812

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,11,-27,-10,24).

Formula

G.f.: 2*x*(6 +59*x +257*x^2 - 294*x^3 -128*x^4)/((1-x)*(1+x)*(1-2*x)*(1+3*x)*(1-4*x)). - Colin Barker, Oct 19 2012

Mathematica

LinearRecurrence[{3, 11, -27, -10, 24}, {0, 12, 154, 1108, 4106, 19972}, 41] (* G. C. Greubel, Dec 25 2022 *)

Prog

(Magma) R<x>:=PowerSeriesRing(Integers(), 40); [0] cat Coefficients(R!( 2*x*(6 +59*x+257*x^2-294*x^3-128*x^4)/(1-3*x-11*x^2+27*x^3+10*x^4-24*x^5) )); // G. C. Greubel, Dec 25 2022
(SageMath)
def f(x): return 2*x*(6+59*x+257*x^2-294*x^3-128*x^4)/(1-3*x-11*x^2 +27*x^3+10*x^4-24*x^5)
def A120657_list(prec):
    P.<x> = PowerSeriesRing(ZZ, prec)
    return P( f(x) ).list()
A120657_list(40) # G. C. Greubel, Dec 25 2022

Crossrefs

Sequence in context: A180808 A004356 A036360 * A015612 A085260 A082173

Adjacent sequences: A120654 A120655 A120656 * A120658 A120659 A120660

Keyword

nonn,easy,less

Author

Roger L. Bagula, Aug 10 2006

Extensions

Edited by G. C. Greubel, Dec 25 2022

Meaningful name using g.f. from Joerg Arndt, Dec 26 2022

Status

approved