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 A375340 #4 Aug 12 2024 13:09:29 %S A375340 1,5,1,5,0,7,2,4,4,3,8,5,9,8,1,6,4,2,0,6,1,8,2,2,3,1,0,1,2,1,8,2,3,5, %T A375340 2,1,6,7,8,7,0,5,0,5,4,6,7,5,5,6,0,1,1,0,7,7,0,0,5,2,0,6,6,9,0,3,4,9, %U A375340 6,6,2,5,3,0,3,2,3,8,3,6,3,4,3,3,1,5,8,0,3,0,0,9,6,0,7,1,0,9,9,8,3,5,1,3,9 %N A375340 Decimal expansion of Sum_{p prime} ((2*p-1)/((p+1)*(p-1)^2)). %F A375340 Equals Sum_{k>=2} A028242(k) * P(k), where P is the prime zeta function. %F A375340 Equals zeta(2) * Limit_{m->oo} (1/m) * Sum_{k=1..m} A375339(k). %F A375340 Equals A154945 * Limit_{m->oo} (1/m) * Sum_{k=1..m} A375341(k). %e A375340 1.515072443859816420618223101218235216787050546755601... %o A375340 (PARI) sumeulerrat((2*p-1)/((p+1)*(p-1)^2)) %Y A375340 Cf. A013661, A028242, A154945, A375339, A375341. %K A375340 nonn,cons %O A375340 1,2 %A A375340 _Amiram Eldar_, Aug 12 2024