A185067 - OEIS

A185067

Continued fraction for phi^gamma.

1, 3, 8, 9, 8, 1, 4, 2, 13, 4, 1, 2, 177, 3, 2, 1, 4, 18, 1, 7, 1, 3, 2, 2, 1, 4, 1, 5, 2, 6, 5, 5, 1, 1, 2, 2, 3, 1, 3, 7, 1, 2, 2, 1, 7, 126, 5, 3, 1, 1, 2, 1, 1, 2, 4, 1, 5, 3, 17, 4, 2, 4, 1, 2, 16, 7, 1, 9, 1, 4, 1, 26, 1, 2, 3, 3, 2, 1, 6, 14, 11, 1, 10, 1, 1, 3, 4, 4, 2, 1, 11

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OFFSET

1,2

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 = 1..5000

EXAMPLE

phi^gamma = 1.320173283762780841279163178... = 1 + 1/(3 + 1/(8 + 1/(9 + 1/(8 + 1/(1 + ...))))).

MATHEMATICA

ContinuedFraction[GoldenRatio^EulerGamma, 100 ]

PROG