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A094689 Decimal expansion of (1+(+1+ ... )^(1/e))^(1/e))^(1/e)). 2

%I #2 Mar 30 2012 17:31:01

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

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

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

%N Decimal expansion of (1+(+1+ ... )^(1/e))^(1/e))^(1/e)).

%C (1+(+1+ ... )^(1/e))^(1/e))^(1/e)) = 1.3745825877642481185119422328836668849726960267756694856346008...

%t f[n_] := N[(n + 1)^(1/E), 128]; RealDigits[ Nest[f, 1, 200], 10, 128][[1]]

%Y Cf. A094690.

%K cons,nonn

%O 1,2

%A _Robert G. Wilson v_, May 18 2004

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