A082665 Decimal expansion of Y = sum(k>2, 1/2^floor(k^log(log(k)))).

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

Offset: 1

Author

Ralf Stephan, May 18 2003

Keywords

• nonn
• cons

Comments

The number Y=1.7410455516384369.. is known to be transcendental.

Links

• D. Bailey et al., On the binary expansions of algebraic numbers, Journal de Théorie des Nombres de Bordeaux 16 (2004), 487-518.
• Index entries for transcendental numbers

Crossrefs

Cf. A084119.

Programs

PARI

suminf(k=3,1/2^floor(k^log(log(k))))