A144713 Decimal expansion of phi/(phi^phi - 1), where phi is the golden ratio (1+sqrt(5))/2.

1, 3, 7, 3, 0, 0, 9, 9, 6, 8, 9, 3, 8, 9, 6, 8, 0, 6, 0, 4, 3, 7, 0, 9, 2, 4, 4, 7, 2, 2, 5, 9, 5, 9, 8, 1, 3, 3, 5, 1, 6, 8, 2, 9, 6, 0, 0, 8, 1, 2, 0, 9, 9, 2, 6, 0, 6, 6, 6, 8, 2, 4, 4, 2, 9, 7, 6, 6, 3, 9, 4, 3, 9, 3, 2, 5, 5, 7, 6, 0, 9, 2, 1, 4, 8, 5, 0, 2, 8, 1, 8, 4, 4, 4, 4, 8, 9, 2, 0

Offset: 1

Author

Daniel Akaiya (pi216n(AT)hotmail.com), Sep 19 2008

Keywords

• nonn
• cons

Comments

Contains the golden ratio, the unit one and a tetration of the golden ratio.

Examples

			1.373009968938968060437092447225959813351682960081209926...
		

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A001622, A144749.

Programs

Mathematica

RealDigits[GoldenRatio/(GoldenRatio^GoldenRatio-1),10,120][[1]] (* Harvey P. Dale, Dec 16 2017 *)

SageMath

numerical_approx(golden_ratio/(golden_ratio^golden_ratio - 1), digits=120) # G. C. Greubel, Jun 16 2022

Extensions

More terms from N. J. A. Sloane, Sep 19 2008