A104751 Decimal expansion of solution to x^(3^x)=3.

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

Offset

1,2

Links

Table of n, a(n) for n=1..120.

Formula

x = 1.3009622263588543927... ; x^(3^x)=3.

Mathematica

RealDigits[x/.FindRoot[x^(3^x)==3, {x, 1.3}, WorkingPrecision->120]][[1]] (* Harvey P. Dale, Aug 08 2012 *)

Crossrefs

Cf. A103561, A104750-A104761.

Sequence in context: A200287 A216469 A319359 * A265828 A177016 A346811

Adjacent sequences: A104748 A104749 A104750 * A104752 A104753 A104754

Keyword

cons,nonn

Author

Zak Seidov, Mar 23 2005

Extensions

More terms from Harvey P. Dale, Aug 08 2012

Status

approved