OFFSET
0,1
COMMENTS
(13 - 5*sqrt(5))/2 = limit of -F(n)+(2+F(n+1))(1+F(n+2)))/(3+F(n+3)), where F = A000045 (Fibonacci numbers).
LINKS
Clark Kimberling, Table of n, a(n) for n = 0..999
EXAMPLE
(13-5*sqrt(5))/2 = 0.9098300562505257589770658281718094113985...
MATHEMATICA
f[n_] := Fibonacci[n]; h[n_] := (2 + f[n + 1]) (1 + f[n + 2])/(3 + f[n + 3]); N[h[100] - f[100], 20]; d = RealDigits[(13 - 5*Sqrt[5])/2, 10, 120][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 21 2013
STATUS
approved