cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A346192 #7 Jan 14 2023 13:26:29
%S A346192 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,
%T A346192 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,
%U A346192 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
%N A346192 Decimal expansion of Sum_{k>=0} 1/(2^(2^k)*(2^(2^k) - 1)).
%C A346192 This constant is transcendental (Schwarz, 1967).
%H A346192 Wolfgang Schwarz, <a href="https://www.jstor.org/stable/24489854">Remarks on the irrationality and transcendence of certain series</a>, Mathematica Scandinavica, Vol. 20, No. 2 (1967), pp. 269-274; <a href="https://www.mscand.dk/article/download/10836/8857">alternative link</a>.
%H A346192 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A346192 Equals Sum_{k>=2} 1/A087046(k).
%e A346192 0.58751531886028517686812633660668413283432738560133...
%t A346192 RealDigits[Sum[1/((2^(2^n) - 1)*2^(2^n)), {n, 0, 10}], 10, 100][[1]]
%Y A346192 Cf. A048649, A087046, , A346190, A346191.
%K A346192 nonn,cons
%O A346192 0,1
%A A346192 _Amiram Eldar_, Jul 09 2021