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A225064
Decimal expansion of the fractional part of e^e^e^e.
2
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
0,1
COMMENTS
It was conjectured (but remains unproved) that this sequence is infinite and aperiodic.
LINKS
Eric Weisstein's World of Mathematics, e
FORMULA
a(n) = A085667(n+1656521), where 1656521 is the length of the integer part of e^e^e^e.
EXAMPLE
frac(e^e^e^e) = 0.2212029997921176538924919342....
MATHEMATICA
base = 10; terms = 120; First[RealDigits[FractionalPart[E^E^E^E], base, terms]]
CROSSREFS
Cf. A085667 (includes integer part).
Sequence in context: A089077 A203398 A339275 * A361967 A130071 A321373
KEYWORD
nonn,cons,easy
AUTHOR
EXTENSIONS
Offset corrected by Rick L. Shepherd, Jan 01 2014
STATUS
approved