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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
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
KEYWORD
nonn,cofr
AUTHOR
STATUS
approved

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Last modified April 17 10:33 EDT 2024. Contains 371763 sequences. (Running on oeis4.)