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

0,1

Comments

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

Links

Table of n, a(n) for n=0..199.

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

Example

0.7756550370345751987332572790748780829226782575549514210453689950664279799102...

Mathematica

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

Crossrefs

Cf. A073233 and its cross-refs.

Sequence in context: A074917 A154016 A343143 * A198566 A154193 A278811

Adjacent sequences: A220778 A220779 A220780 * A220782 A220783 A220784

Keyword

nonn,cons

Author

Jonathan Sondow, Dec 31 2012

Status

approved