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A100086 Decimal expansion of unique positive solution to y^y = (y-1)^(y+1). 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 (list; constant; graph; refs; listen; history; text; internal format)
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: A082999 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

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Last modified May 30 08:46 EDT 2017. Contains 287302 sequences.