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.
%I A344785 #8 Jan 08 2025 11:23:56
%S A344785 7,0,0,7,6,4,0,1,1,5
%N A344785 Decimal expansion of the sum of the reciprocals of the elite primes (A102742).
%C A344785 Křížek et al. (2002) proved that this series is convergent.
%C A344785 The first 10 terms were given by Finch (2018).
%D A344785 Steven R. Finch, Mathematical Constants II, Cambridge University Press, 2018, Section 1.37, p. 247.
%H A344785 Steven R. Finch, <a href="https://citeseerx.ist.psu.edu/pdf/19649c0b982e07df575fd68a8127c6a73ee952de">Fermat Numbers and Elite Primes</a>, preprint, 2013.
%H A344785 Michal Křížek, Florian Luca and Lawrence Somer, <a href="http://dx.doi.org/10.1006/jnth.2002.2782">On the convergence of series of reciprocals of primes related to the Fermat numbers</a>, J. Number Theory, Vol. 97, No. 1 (2002), pp. 95-112.
%F A344785 Equals Sum_{k>=1} 1/A102742(k).
%e A344785 0.7007640115...
%Y A344785 Cf. A102742.
%K A344785 nonn,cons,more
%O A344785 0,1
%A A344785 _Amiram Eldar_, May 28 2021