A169862 Decimal expansion of root of x^(x-1) = (x-1)^x.

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

Offset: 1

Author

N. J. A. Sloane, Jun 18 2010, based on a suggestion from Daniel Forgues

Keywords

• nonn
• cons

Examples

			3.2931662874118610315080282912508058643722572903271212485377103961...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000
• Eric Weisstein's World of Mathematics, Foias Constant

Crossrefs

Equals A085846 + 1. Cf. A021002.

Programs

Mathematica

RealDigits[x/.FindRoot[x^(x-1)==(x-1)^x,{x,3}, WorkingPrecision->150]] [[1]] (* Harvey P. Dale, Nov 09 2011 *)

PARI

solve(x=3,4,x^(x-1)-(x-1)^x) \\ Charles R Greathouse IV, Apr 14 2014