OFFSET
0,2
REFERENCES
A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 74.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
A. Brousseau, A sequence of power formulas, Fib. Quart., 6 (1968), 81-83.
FORMULA
a(n) = (Product_{k=floor(n/2)+1..n} Fibonacci(k)) / (Product_{k=1..ceiling(n/2)} Fibonacci(k)).
a(n) ~ ((1+sqrt(5))/2)^(n^2/4 + n + 1 - (1-(-1)^n)/8) / A062073, where A062073 = 1.2267420107203532444176302... is the Fibonacci factorial constant. - Vaclav Kotesovec, May 01 2015
MATHEMATICA
Table[Product[Fibonacci[k], {k, Floor[n/2]+1, n}] / Product[Fibonacci[k], {k, 1, Ceiling[n/2]}], {n, 2, 20}] (* Vaclav Kotesovec, Apr 10 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Vaclav Kotesovec, May 01 2015
STATUS
approved