* Bill Gosper <billgosper@gmail.com> [Aug 29. 2014 14:30]:
Choosing the simplest alternatives in http://mathworld.wolfram.com/ReciprocalFibonacciConstant.html leads to the remarkably simple http://gosper.org/recipfib.pdf .
I was not aware of this. Btw. those \Gamma^{(1,0)} and \Psi^{(0)} should be defined.
Jörg, did you know about this all along? (My Borwein&Borwein is still AWOL.)
All I know is in http://arxiv.org/abs/1202.6525 Summation only for first terms 0 and 1, and determinant > 0 (I did not find how to treat det < 0 IIRC). Was aimed at Fib. Quart., but gave up after finding main result in an older paper (as now remarked). Pari code at http://jjj.de/pari/ (file lambert.gpi, at end of file)
Wikipedia still has two articles maintaining no closed form.
No closed form with http://en.wikipedia.org/wiki/Reciprocal_Fibonacci_constant But two (in Theta-nulls) with http://en.wikipedia.org/wiki/Fibonacci_number#Reciprocal_sums
Are they really stodgy with their definition, or just uninformed?
Not sure what you are aiming at. Certainly those theta formulas should appear on the page Reciprocal_Fibonacci_constant as well!
--rwg
Btw. It's a fun exercise to change between the English and the German WikiPedias (even if you do not understand Krautisch). Best, jj
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