Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Feb 27 2017 02:53:29
%S 1,2,8,0,4,9,7,8,0,8,5,4,1,6,5,7,0,6,6,6,8,5,3,2,3,4,6,0,2,0,9,0,8,9,
%T 2,7,8,7,8,2,0,4,0,1,9,6,5,2,2,9,5,4,8,9,1,3,5,8,2,4,6,1,0,2,6,4,3,2,
%U 0,1,8,5,7,4,7,0,1,9,2,0,5,3,7,9,3,7,2,1,1,4,2,6,9,9,4,5,6,6,5,3,4,0,2,6,8
%N Decimal expansion of a constant related to A086714.
%F Equals limit n->infinity A086714(n)^(1/2^n).
%e 1.2804978085416570666853234602090892787820401965229548913582461026432...
%t exact = 32; terms = 200; b = ConstantArray[0, terms]; b[[1]] = N[Log[4], 100]; Do[b[[n]] = b[[n - 1]] + If[n > exact, b[[n - 1]], Log[Exp[b[[n - 1]]] - 1]] - Log[2], {n, 2, terms}]; Do[Print[Exp[b[[n]]/2^n]], {n, 1, Length[b]}] (* after _Jon E. Schoenfield_ *)
%Y Cf. A086714, A251702.
%K nonn,cons
%O 1,2
%A _Vaclav Kotesovec_, Dec 09 2014