A100086 Decimal expansion of unique positive solution to y^y = (y-1)^(y+1).

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

Offset

1,1

Links

Table of n, a(n) for n=1..103.

Greg Martin, The unreasonable effectualness of continued fraction expansions, arXiv:math/0206166

Example

4.141041525410788500945231446733515159979856852445599488196546631496424...

Mathematica

RealDigits[ FindRoot[x^x == (x - 1)^(x + 1), {x, 4}, WorkingPrecision -> 128][[1, 2]], 10, 111][[1]] (* Robert G. Wilson v, Dec 07 2005 *)

Crossrefs

Equals A144211 + 1.

Sequence in context: A333240 A010641 A165486 * A140704 A030748 A144865

Adjacent sequences: A100083 A100084 A100085 * A100087 A100088 A100089

Keyword

cons,nonn

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 08 2004

Extensions

arXiv URL replaced with non-cached version by R. J. Mathar, Oct 30 2009

Status

approved