OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 1.2.5 Fibonacci factorials, p. 10.
LINKS
Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 1.
Adrian R. Kitson, The regularized product of the Fibonacci numbers. (2006) arXiv:math/0608187 [math.HO]
FORMULA
delta = 5^(1/4)*exp(-log(5)^2/(8*log(phi)))*c/phi^(1/12), where phi is the golden ratio and c is the Fibonacci factorial constant (c = A062073 = 1.226742...).
EXAMPLE
0.899212680785500886257698838775288182435045411706848498172656...
MATHEMATICA
c = QPochhammer[-1/GoldenRatio^2]; delta = 5^(1/4)*Exp[-Log[5]^2/(8*Log[GoldenRatio])]*c/GoldenRatio^(1/12); RealDigits[delta, 10, 103] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Aug 11 2014
STATUS
approved