login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Decimal expansion of the limit of the nested Zeta(1+Zeta(2+Zeta(3+Zeta(4+...)))).
1

%I #9 Apr 10 2017 23:32:41

%S 1,4,9,8,9,0,4,8,4,4,1,2,0,8,4,4,3,1,5,6,7,7,3,1,3,2,5,9,5,3,8,1,8,6,

%T 4,5,6,9,7,0,6,1,5,7,5,3,7,4,9,4,3,3,5,3,5,7,2,0,5,7,6,4,1,6,7,5,5,9,

%U 7,9,6,1,7,3,9,5,5,2,0,2,4,9,7,5,8,0,3,0,3,3,3,1,6,6,7,8,6,6,5,1,2,1,8,0,9

%N Decimal expansion of the limit of the nested Zeta(1+Zeta(2+Zeta(3+Zeta(4+...)))).

%C No closed form expression is known. Probably transcendental but this is unproved.

%e 1.4989048441208443156773132595381864569706157537494335357205764167559796173...

%t RealDigits[Fold[Zeta[#1 + #2] &, 0, Reverse[Range[26]]], 10, 111][[1]] (* or *)RealDigits[Fold[PolyLog[#1 + #2, 1] &, 0, Reverse[Range[30]]], 10, 111][[1]]

%K nonn,cons

%O 1,2

%A _Robert G. Wilson v_, Apr 09 2017