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

Author

Vladimir Reshetnikov, Apr 26 2013

Keywords

• nonn
• cofr
• easy

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

• Eric Weisstein's World of Mathematics, e
• Eric Weisstein's World of Mathematics, Power Tower

Crossrefs

Cf. A003417, A064107, A159825.

Programs

Mathematica

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