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A181779 Continued fraction for phi^phi. 0
2, 5, 1, 1, 1, 10, 1, 1, 2, 8, 7643, 4, 1, 51, 2, 2, 8, 5, 2, 1, 6, 5, 4, 1, 42, 2, 1, 1, 1, 1, 1, 1, 1, 6, 2, 6, 2, 12, 2, 1, 6, 3, 13, 11, 2, 9, 2, 1, 4, 1, 2, 1, 6, 3, 1, 1, 1, 11, 3, 1, 2, 1, 1, 2, 3, 3, 1, 2, 3, 1, 56, 1, 24, 6, 20, 3, 27, 2, 1, 2, 1, 2, 5, 2, 1, 1, 14, 1, 91, 1, 2, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 36, 1, 1, 1, 4, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 16, 21, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

H. Walser, The Golden Section, Math. Assoc. of Amer, Washington DC 2001.

C. J. Willard, Le nombre d'or, Magnard, Paris 1987.

LINKS

Table of n, a(n) for n=1..120.

EXAMPLE

2.178457567937599147372545... = 2 + 1/(5 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...))))).

MAPLE

with(numtheory):Digits:= 300: x:=(sqrt(5)+1)/2:convert(evalf(x^x), confrac);

MATHEMATICA

ContinuedFraction[GoldenRatio^ GoldenRatio, 100 ]

PROG

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

CROSSREFS

Cf. A144749.

Sequence in context: A124779 A284750 A092134 * A024548 A197737 A189824

Adjacent sequences:  A181776 A181777 A181778 * A181780 A181781 A181782

KEYWORD

nonn,cofr

AUTHOR

Michel Lagneau

STATUS

approved

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Last modified May 12 09:16 EDT 2021. Contains 343821 sequences. (Running on oeis4.)