A185068 Continued fraction for gamma^phi.

0, 2, 2, 3, 4, 4, 1, 10, 5, 2, 2, 2, 20, 1, 1, 2, 1, 3, 2, 1, 3, 2, 2, 1, 26, 2, 3, 9, 2, 5, 2, 5, 1, 2, 3, 1, 1, 1, 1, 2, 1, 7, 4, 2, 1, 1, 1, 1, 2, 1, 5, 17, 9, 1, 31, 1, 4, 5, 5, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 6, 1, 10, 1, 3, 1, 4, 1, 1, 6, 5, 3, 2, 4, 1, 26, 1, 1, 1, 2, 3, 1, 1, 1, 1

Offset

0,2

Comments

Gamma is Euler's constant (or the Euler-Mascheroni constant) and phi is the golden ratio.

Links

G. C. Greubel, Table of n, a(n) for n = 0..5000

Example

gamma^phi = 0.4109953877540141322242434956... = 0 + 1/(2 + 1/(2 + 1/(3 + 1/(4 + 1/(4 + ...))))).

Mathematica

ContinuedFraction[EulerGamma^GoldenRatio, 100 ]

Prog

(PARI) contfrac(Euler^((1+sqrt(5))/2)) \\ Charles R Greathouse IV, Jul 29 2011

Crossrefs

Cf. A001622.

Sequence in context: A372645 A125920 A176360 * A078664 A328388 A325954

Adjacent sequences: A185065 A185066 A185067 * A185069 A185070 A185071

Keyword

nonn,cofr

Author

Michel Lagneau, Feb 18 2011

Status

approved