A220781 - OEIS

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

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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]]