%I #10 Apr 27 2017 19:40:42

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

%T 1,8,8,8,9,3,0,9,2,9,8,0,6,3,8,8,1,9,1,0,3,3,1,8,3,2,4,3,3,1,9,6,2,7,

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

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

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

%H Alex Klotz, <a href="http://klotza.blogspot.com/2016/10/the-nested-logarithm-constants.html">The Nested Logarithm Constants</a>

%e 1.6630272645956895211326676626846841888930929806388191033183243319627019656...

%t bgn = 147; RealDigits[ Fold[ N[1 + #2*Log@#1, 200] &, bgn +1, Reverse@Range@bgn] -1, 10, 111][[1]]

%Y Cf. A072449, A276521, A276538, A276539, A277313, A278812, A283749.

%K nonn,cons

%O 1,2

%A _Alex Klotz_ and _Robert G. Wilson v_, Apr 27 2017