A258504 Decimal expansion of (27/64)^(27/64) = (81/256)^(81/256).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

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

Formula

x^x = y^y <==> (1/x)^(1/y) = (1/y)^(1/x), hence, from A258503:

(64/27)^(256/81) = (256/81)^(64/27) <==> (27/64)^(27/64) = (81/256)^(81/256).

Example

0.6948233607279167955009391708983145471565914206815539940260405544...

Mathematica

RealDigits[(27/64)^(27/64), 10, 105] // First

Crossrefs

Cf. A194556, A194789, A258503.

Sequence in context: A007332 A246041 A131691 * A273816 A350817 A021063

Adjacent sequences: A258501 A258502 A258503 * A258505 A258506 A258507

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jun 01 2015

Status

approved