A094690 - OEIS

A094690

Continued fraction expansion of (1+(+1+ ... )^(1/e))^(1/e))^(1/e)).

1, 2, 1, 2, 37, 17, 4, 4, 6, 11, 25, 2, 1, 2, 1, 9, 1, 2, 1, 13, 4, 1, 2, 3, 1, 1, 8, 1, 3, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 7, 2, 1, 3, 1, 1, 9, 2, 1, 1, 5, 6, 5, 1, 2, 10, 1, 1, 1, 5, 1, 1, 2, 8, 1, 6, 1, 1, 2, 2, 1, 3, 1, 1, 1, 4, 30, 1, 4, 66, 1, 2, 76, 4, 6, 1, 1, 9, 3, 1, 1, 1, 28, 1, 11, 1, 2

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OFFSET

0,2

COMMENTS

Increasing partial quotients are: 1,2,37,66,76,84,145,686,983,2434,5120

LINKS

Table of n, a(n) for n=0..99.

MATHEMATICA

f[n_] := N[(n + 1)^(1/E), 1024]; ContinuedFraction[ Nest[f, 1, 2500], 100]

CROSSREFS

Cf. A094689 (decimal expansion).

Sequence in context: A155796 A341530 A141238 * A010249 A228005 A177438