A251794 Decimal expansion of a constant related to A086714.
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, 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, 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
Offset: 1
Examples
1.2804978085416570666853234602090892787820401965229548913582461026432...
Programs
-
Mathematica
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 *)
Formula
Equals limit n->infinity A086714(n)^(1/2^n).