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

Author

Michel Lagneau

Keywords

• dead

Comments

Previous name was: Continued fraction for phi^phi.

Examples

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

Crossrefs

Cf. A144749 (decimal expansion).

Programs

Maple

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

Mathematica

ContinuedFraction[GoldenRatio^ GoldenRatio, 100 ]

PARI

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

Extensions

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