A181779 Duplicate of A092134.

2, 5, 1, 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

Offset

0,1

Comments

Previous name was: Continued fraction for phi^phi.

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=0..119.

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 (decimal expansion).

Sequence in context: A124779 A284750 A092134 * A024548 A376316 A197737

Adjacent sequences: A181776 A181777 A181778 * A181780 A181781 A181782

Keyword

dead

Author

Michel Lagneau

Extensions

Offset changed and missing term inserted by Andrew Howroyd, Jul 08 2024

Status

approved