A092134 Continued fraction expansion for phi^phi, where phi is the golden ratio (1+sqrt(5))/2.

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

Offset

1,1

Links

Table of n, a(n) for n=1..79.

Example

a(3)=1 because the expansion begins 2+(1/(5+(1/(1+...)))).

Mathematica

phi := (1 + Sqrt[5])/2; ContinuedFraction[phi^phi, 80] (* Bruno Berselli, Aug 07 2013 *)

Prog

(PARI) gr = (1+sqrt(5))/2; contfrac(gr^gr) \\ Michel Marcus, Aug 07 2013

Crossrefs

Sequence in context: A323909 A124779 A284750 * A181779 A024548 A197737

Adjacent sequences: A092131 A092132 A092133 * A092135 A092136 A092137

Keyword

nonn,cofr

Author

Ryan Witko (witko(AT)nyu.edu), Mar 30 2004

Extensions

a(12) and following terms corrected by Charles R Greathouse IV, Aug 07 2013

Status

approved