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

1,2

Comments

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

Links

Table of n, a(n) for n=1..90.

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

Prog

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

Crossrefs

Cf. A084119.

Sequence in context: A293609 A294514 A099935 * A011101 A021935 A131028

Adjacent sequences: A082662 A082663 A082664 * A082666 A082667 A082668

Keyword

nonn,cons

Author

Ralf Stephan, May 18 2003

Status

approved