OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,2,0,-1,1,0,-2,0,1).
FORMULA
G.f.: (1+x^6)/((1-x^2)^2*(1-x^5)).
a(n) = (17 + 6*n + 2*n^2 + 5*(-1)^n*(3 + 2*n) + 8*A080891(n+4))/40.
MAPLE
MATHEMATICA
CoefficientList[Series[(1+x^6)/((1-x^2)^2*(1-x^5)), {x, 0, 70}], x] (* G. C. Greubel, Sep 12 2019 *)
PROG
(PARI) my(x='x+O('x^70)); Vec((1+x^6)/((1-x^2)^2*(1-x^5))) \\ G. C. Greubel, Sep 12 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 70); Coefficients(R!( (1+x^6)/((1-x^2)^2*(1-x^5)) )); // G. C. Greubel, Sep 12 2019
(Sage)
def A008798_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P((1+x^6)/((1-x^2)^2*(1-x^5))).list()
A008798_list(70) # G. C. Greubel, Sep 12 2019
(GAP) a:=[1, 0, 2, 0, 3, 1, 5, 2, 7];; for n in [10..70] do a[n]:=2*a[n-2]-a[n-4]+a[n-5]-2*a[n-7]+a[n-9]; od; a; # G. C. Greubel, Sep 12 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
Definition clarified by N. J. A. Sloane, Feb 02 2018
More terms added by G. C. Greubel, Sep 12 2019
STATUS
approved