A194789 Decimal expansion of (4/9)^(4/9) = (8/27)^(8/27).

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

Offset: 0

Author

Jonathan Sondow, Sep 02 2011

Keywords

• nonn
• cons

Comments

(4/9)^(4/9) = (8/27)^(8/27) corresponds to (9/4)^(27/8) = (27/8)^(9/4) (see A194556) under the equivalence x^x = y^y <==> (1/x)^(1/y) = (1/y)^(1/x).

Examples

			0.6973879457621430704075323673549042345770355186105029836376253048204852032246954...
		

Links

• J. Sondow and D. Marques, Algebraic and transcendental solutions of some exponential equations, Annales Mathematicae et Informaticae 37 (2010) 151-164; see p. 8 in the link.

Crossrefs

Cf. A194556.

Programs

Mathematica

RealDigits[(4/9)^(4/9), 10, 100] // First