OFFSET
1,2
COMMENTS
The Lucas factorial constant is associated with the Lucas factorial A135407.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
FORMULA
Equals exp( Sum_{k>=1} 1/(k*(((3-sqrt(5))/2)^k-(-1)^k)) ). - Vaclav Kotesovec, Jun 08 2013
Equals Product_{k=0..infinity} (1 + (-1)^k/phi^(2*k)). - G. C. Greubel, Dec 23 2017
Equals lim_{n->oo} A135407(n)/phi^(n*(n+1)/2), where phi is the golden ratio (A001622). - Amiram Eldar, Jan 23 2022
EXAMPLE
1.35787840761210570138743970976060718557860586529567870449687825438407191103...
MATHEMATICA
RealDigits[QPochhammer[-1, -1/GoldenRatio^2], 10, 105][[1]] (* slightly modified by Robert G. Wilson v, Dec 21 2017 *)
PROG
(PARI) prodinf(j=0, 1 + ((sqrt(5) - 3)/2)^j) \\ Iain Fox, Dec 21 2017
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, Oct 30 2012
STATUS
approved