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 A342714 #29 Apr 09 2021 09:37:03
%S A342714 1,0,5,9,0,6,4,2,6
%N A342714 Decimal expansion of infinite sum of reciprocals of lesser twin primes, Sum_{n>=1} 1/A001359(n).
%C A342714 Alternative definition: infinite sum of reciprocals of primes whose distance to the next prime is equal to 2.
%C A342714 _R. J. Mathar_ gave an estimate of 1.059064 for this constant in a comment at A209328. _Dimitris Valianatos_ estimated the constant as 1.059064266555685... in a comment at A306539.
%F A342714 Equals 1/3 + 1/5 + 1/11 + 1/17 + 1/29 + 1/41 + 1/59 + ...
%F A342714 Equals (A065421 + A306539)/2.
%e A342714 Equals 1.05906426...
%Y A342714 Cf. A006512, A065421, A077800, A160910, A209328, A209329, A306539.
%K A342714 nonn,cons,more
%O A342714 1,3
%A A342714 _Artur Jasinski_, Mar 19 2021