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Decimal expansion of the fractional part of e^e^e^e.
2

%I #8 Jan 01 2014 20:42:26

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

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

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

%N Decimal expansion of the fractional part of e^e^e^e.

%C It was conjectured (but remains unproved) that this sequence is infinite and aperiodic.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/e.html">e</a>

%F a(n) = A085667(n+1656521), where 1656521 is the length of the integer part of e^e^e^e.

%e frac(e^e^e^e) = 0.2212029997921176538924919342....

%t base = 10; terms = 120; First[RealDigits[FractionalPart[E^E^E^E], base, terms]]

%Y Cf. A085667 (includes integer part).

%K nonn,cons,easy

%O 0,1

%A _Vladimir Reshetnikov_, Apr 26 2013

%E Offset corrected by _Rick L. Shepherd_, Jan 01 2014