OFFSET
1,3
LINKS
Daniel Duverney, Carsten Elsner, Masanobu Kaneko, and Yohei Tachiya, A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers, Research in Number Theory, Vol. 8 (2022), Article 31; alternative link.
Eric Weisstein's World of Mathematics, Dedekind Eta Function.
Wikipedia, Dedekind eta function.
FORMULA
EXAMPLE
1.09591388814868203063436944755222157768251662859702...
MATHEMATICA
With[{eta = DedekindEta, tau0 = Log[GoldenRatio]*I/Pi}, RealDigits[(Surd[GoldenRatio^5, 4] / 3) * eta[4*tau0]/eta[tau0], 10, 120][[1]]]
PROG
(PARI) prodinf(k = 3, 1 - (-1)^k/fibonacci(k))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 26 2024
STATUS
approved