A133930 Decimal expansion of the solution to x^x = Phi (A001622, the Golden Ratio).

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

Offset: 1

Author

Rick L. Shepherd, Sep 29 2007

Keywords

• cons
• nonn

Examples

			x = 1.40757981445881000487...
		

Crossrefs

Cf. A001622, A030797.

Programs

Mathematica

x=GoldenRatio; RealDigits[Log[x]/ProductLog[Log[x]],10,6! ][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 11 2010 *)

PARI

solve(x=1,2,x^x-(1+sqrt(5))/2)