A346192 Decimal expansion of Sum_{k>=0} 1/(2^(2^k)*(2^(2^k) - 1)).

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

Offset

0,1

Comments

This constant is transcendental (Schwarz, 1967).

Links

Table of n, a(n) for n=0..99.

Wolfgang Schwarz, Remarks on the irrationality and transcendence of certain series, Mathematica Scandinavica, Vol. 20, No. 2 (1967), pp. 269-274; alternative link.

Index entries for transcendental numbers

Formula

Equals Sum_{k>=2} 1/A087046(k).

Example

0.58751531886028517686812633660668413283432738560133...

Mathematica

RealDigits[Sum[1/((2^(2^n) - 1)*2^(2^n)), {n, 0, 10}], 10, 100][[1]]

Crossrefs

Cf. A048649, A087046, , A346190, A346191.

Sequence in context: A005480 A204921 A021867 * A165909 A334482 A243598

Adjacent sequences: A346189 A346190 A346191 * A346193 A346194 A346195

Keyword

nonn,cons

Author

Amiram Eldar, Jul 09 2021

Status

approved