OFFSET
0,5
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,0,-1,3,-1,0,1,-1).
FORMULA
G.f.: -1/(x^4*f(x)*f(1/x)), where f(x) = -1 - x^3 + x^4.
G.f.: 1/((1+x^3-x^4)*(1-x-x^4)). - Colin Barker, Nov 04 2012
MATHEMATICA
f[x_]= x^4-x^3-1; CoefficientList[Series[-1/(x^4*f[x]*f[1/x]), {x, 0, 50}], x]
PROG
(Magma) R<x>:=PowerSeriesRing(Integers(), 50); Coefficients(R!( 1/((1+x^3-x^4)*(1-x-x^4)) )); // G. C. Greubel, Oct 25 2022
(SageMath)
def A147593_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( 1/((1+x^3-x^4)*(1-x-x^4)) ).list()
A147593_list(50) # G. C. Greubel, Oct 25 2022
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Nov 08 2008
EXTENSIONS
Edited by Joerg Arndt and Colin Barker, Nov 04 2012.
STATUS
approved