OFFSET
0,1
REFERENCES
B. Cloitre, On rational sequences yielding continued fractions with unbounded coefficients, in preparation
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..475
FORMULA
a(n) = 2*L(10*n+4) + L(10*n+5) + (-1)^n*7 - 1, where L(k) denotes the k-th Lucas number L(k) = F(k-1) + F(k+1), for n >= 0.
Empirical g.f.: (x^4-140*x^3-965*x^2+894*x-32) / ((x-1)*(x+1)*(x^2-123*x+1)). - Colin Barker, Jun 17 2013
MATHEMATICA
Table[2*LucasL[10*n + 4] + LucasL[10*n + 5] + 7*(-1)^n - 1, {n, 0, 50}] (* G. C. Greubel, Mar 13 2017 *)
PROG
(PARI) a(n)=vecmax(contfrac(fibonacci(5*n+3)^5/fibonacci(5*n+2)^5))
CROSSREFS
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Jan 10 2006
STATUS
approved