A258503 Decimal expansion of (64/27)^(256/81) = (256/81)^(64/27).

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

Offset: 2

Author

Jean-François Alcover, Jun 01 2015

Keywords

• nonn
• cons
• easy

Examples

			15.2969313436178682300313080466454951313357722002517312514576871...
		

Links

• Jonathan Sondow, Diego Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164

Crossrefs

Cf. A194556, A194789, A258504.

Programs

Mathematica

RealDigits[(64/27)^(256/81), 10, 103] // First

Formula

-((x*ProductLog(-1, -(log(x)/x)))/log(x)), replacing x with 64/27, gives 256/81 (ProductLog is the Lambert W function).