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 A209328 #16 Apr 02 2021 12:50:00
%S A209328 1,0,7,9,8,3,9,7,4,9,5
%N A209328 Decimal expansion of the sum of the inverse twin prime products.
%C A209328 Summation up to the lesser prime(100000) gives 0.1079839703839.., summation up to the lesser prime(5000000) gives 0.10798397490956.. and summation up to the lesser prime(100000000) gives 0.107983974949..
%C A209328 The constant splits Brun's constant B=A065421 into two portions: define L=Sum_{n>=1} 1/A001359(n) and U=Sum_{n>=1} 1/A006512(n). Then B=U+L and this constant here = (L-U)/2. This leads to the estimates L=1.059064 and U=0.843096. - _R. J. Mathar_, Feb 05 2013
%e A209328 0.10798397495... = 1/(3*5) + 1/(5*7) + 1/(11*13) + .. = Sum_{n>=1} 1/A037074(n).
%Y A209328 Cf. A001359, A006512, A037074, A065421.
%K A209328 nonn,cons,more
%O A209328 0,3
%A A209328 _R. J. Mathar_, Jan 19 2013