A225064 Decimal expansion of the fractional part of e^e^e^e.

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, 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, 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

Offset: 0

Author

Vladimir Reshetnikov, Apr 26 2013

Keywords

• nonn
• cons
• easy

Comments

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

Examples

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

Links

• Eric Weisstein's World of Mathematics, e

Crossrefs

Cf. A085667 (includes integer part).

Programs

Mathematica

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

Formula

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

Extensions

Offset corrected by Rick L. Shepherd, Jan 01 2014