OFFSET
1,3
LINKS
A. R. Ashrafi, J. Azarija, K. Fathalikhani, S. Klavzar, et al., Orbits of Fibonacci and Lucas cubes, dihedral transformations, and asymmetric strings, 2014.
A. R. Ashrafi, J. Azarija, K. Fathalikhani, S. Klavzar and M. Petkovsek, Vertex and edge orbits of Fibonacci and Lucas cubes, 2014; See Table 2.
P. Moree, Convoluted convolved Fibonacci numbers, arXiv:math/0311205 [math.CO], 2003.
Index entries for linear recurrences with constant coefficients, signature (2,2,-4,-1,0,0,2,1).
FORMULA
G.f.: (x/2)*(1/(1 - x - x^2)^2 - 1/(1 - x^2 - x^4)).
MAPLE
with(numtheory): f := z->1/(1-z-z^2): m := proc(r, j) d := divisors(r): W := (1/r)*z*sum(mobius(d[i])*f(z^d[i])^(r/d[i]), i=1..nops(d)): Wser := simplify(series(W, z=0, 80)): coeff(Wser, z^j) end: seq(m(2, j), j=1..40);
MATHEMATICA
CoefficientList[Series[(1/2) (1/(1 - x - x^2)^2 - 1/(1 - x^2 - x^4)), {x, 0, 40}], x] (* Vincenzo Librandi, Dec 27 2015 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 05 2003
EXTENSIONS
Edited by Emeric Deutsch, Mar 06 2004
STATUS
approved