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

Author

Amiram Eldar, Jul 09 2021

Keywords

• nonn
• cons

Comments

This constant is transcendental (Schwarz, 1967).

Examples

			0.58751531886028517686812633660668413283432738560133...
		

Links

• 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

Crossrefs

Cf. A048649, A087046, , A346190, A346191.

Programs

Mathematica

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

Formula

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