A180848 Continued fraction for Khintchin^Khintchin.

14, 5, 6, 2, 71, 1, 19, 1, 4, 1, 1, 1, 9, 1, 4, 1, 1, 464, 2, 4, 1, 1, 2, 3, 3, 2, 1, 1, 23, 2, 1, 1, 9, 4, 1, 1, 3, 11, 6, 1, 1, 1, 14, 2, 5, 8, 33, 7, 5, 2, 5, 5, 2, 3, 10, 3, 1, 1, 1, 8, 1, 2, 1, 7, 1, 1, 6, 1, 1, 11, 1, 7, 11, 5, 5, 1, 1, 7, 4, 1, 7, 1, 1, 4, 2, 24, 2, 16, 3, 1, 14, 3, 4, 2, 1, 2, 1

Offset

1,1

Comments

Continued fraction for the constant A002210 raised to its own power.

Links

Table of n, a(n) for n=1..97.

D. Shanks, Further evaluation of Khintchine's constant, Math. Comp., 14 (1960), 370-371.

D. Shanks and J. W. Wrench, Jr., Khintchine's constant, Amer. Math. Monthly, 66 (1959), 276-279.

Example

Khintchin^Khintchin = 14.194026774480... = 14 + 1/(5 + 1/(6 + 1/(2 + 1/(71 + 1/(1 + ...)))))

Mathematica

ContinuedFraction[Khinchin^Khinchin, 100]

Crossrefs

Cf. A002210, A002211

Sequence in context: A340715 A344046 A084676 * A331482 A068609 A166208

Adjacent sequences: A180845 A180846 A180847 * A180849 A180850 A180851

Keyword

nonn,cofr

Author

Michel Lagneau, Sep 20 2010

Extensions

References converted to links - R. J. Mathar, Oct 06 2010

Status

approved