A133930 - OEIS

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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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

x = 1.40757981445881000487...

MATHEMATICA

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

PROG

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

CROSSREFS