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

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Eric Weisstein's World of Mathematics, Foias Constant

Example

3.2931662874118610315080282912508058643722572903271212485377103961...

Mathematica

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

Prog

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

Crossrefs

Equals A085846 + 1. Cf. A021002.

Sequence in context: A182023 A349213 A228936 * A245884 A192492 A351444

Adjacent sequences: A169859 A169860 A169861 * A169863 A169864 A169865

Keyword

nonn,cons

Author

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

Status

approved