A220781 Decimal expansion of (log 2)^(log 2).

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

Offset: 0

Author

Jonathan Sondow, Dec 31 2012

Keywords

• nonn
• cons

Comments

A weak form of Schanuel's Conjecture implies that (log 2)^(log 2) is transcendental--see Marques and Sondow (2012).

Examples

			0.7756550370345751987332572790748780829226782575549514210453689950664279799102...
		

Links

• D. Marques and J. Sondow, The Schanuel Subset Conjecture implies Gelfond's Power Tower Conjecture, arXiv:1212.6931 [math.NT], 2012-2013.

Crossrefs

Cf. A073233 and its cross-refs.

Programs

Mathematica

RealDigits[ Log[2]^Log[2], 10, 200] [[1]]