27 Nov
2011
27 Nov
'11
8:59 p.m.
Can anyone motivate their rather grotesque choice of an infinite series (13/8 + a 1F0[1/4])? Hey, why not some zip?: Binomial[2 n, n] 1970299 Sum[----------------, {n, 0, Infinity}] n 1 62113250390420 - + ----------------------------------------------- 2 1762289 (The +1/2 can be replaced by a factor of a n + b in the summand, for some integers a and b.) Actually, you're unlikely to beat (from Finch's opus) the superfast (doubly exponential) 4 - Sum[1/Fibonacci[2^n], {n, 0,∞}]. In typical fashion, Mma knows this one, just to be impressive, but not that it telescopes, just to be useful. --rwg