%I #17 Nov 06 2012 11:00:56
%S 3,3,0,5,2,1,9,8,2,9,1,8,5,3,4,4,6,8,2,1,9,1,9,8,2,8,1,1,4,7,7,2,6,2,
%T 9,2,0,9,0,9,2,2,8,4,4,8,1,2,3,3,1,3,5,2,5,8
%N A constant relating to generating primes from fractions involving Bernoulli numbers, and the greedy sequence of prime offsets.
%C If the prime k-tuple conjecture is true, then lim inf A217926(n)/(2n) exists, and has the value 3.305219...
%C If lim sup A217926(n)/(2n) exists, it appears to have a value less than 3.32.
%F The a(n) are the decimal digits of K = 3.305219..., where K is the solution of exp(2/K) = sum(exp(-g/K)), and where the g are the terms of the greedy sequence of prime offsets (A135311).
%Y Cf. A217926, A135311.
%K nonn,cons
%O 1,1
%A _Roger Thompson_, Oct 06 2012