A225062 Continued fraction for 1/frac(e^e^e^e). Also, continued fraction for e^e^e^e starting from the 2nd term.

4, 1, 1, 11, 1, 1, 3, 1, 6, 2, 1, 3, 1, 1, 8, 1, 8, 2, 3, 1, 3, 3, 1, 1, 4, 22, 4, 2, 2, 4, 6, 1, 98, 1, 3, 1, 3, 1, 1, 3, 3, 1, 1, 1, 9, 2, 16, 1, 1, 1, 3, 3, 1, 11, 2, 1, 2, 1, 2, 5, 1, 11, 1, 7, 4, 1, 4, 12, 8, 1, 6, 1, 1, 1, 1, 4, 2, 2, 3, 2, 1, 1, 7, 1, 8, 8, 1, 117, 4, 6, 3, 1, 3, 1, 1, 4, 2, 2, 7, 1, 2, 1, 1, 3, 21, 1, 9, 6, 1, 1, 4, 2, 2, 1, 5

Offset

1,1

Comments

The 1st term of continued fraction for e^e^e^e has 1656521 decimal digits, so it is not included in the sequence.

Links

Table of n, a(n) for n=1..115.

Eric Weisstein's World of Mathematics, e

Eric Weisstein's World of Mathematics, Power Tower

Mathematica

$MaxExtraPrecision = Infinity; terms = 115; ContinuedFraction[1/FractionalPart[E^E^E^E], terms]

Crossrefs

Cf. A003417, A064107, A159825.

Sequence in context: A121692 A264614 A261762 * A145271 A232774 A331969

Adjacent sequences: A225059 A225060 A225061 * A225063 A225064 A225065

Keyword

nonn,cofr,easy

Author

Vladimir Reshetnikov, Apr 26 2013

Status

approved