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 A380688 #17 Apr 02 2025 06:29:18
%S A380688 4,1,5,8,6,3,9,6,6,8,8,9,6,3,1,1,7,9,7,9,2,1,4,4,5,6,6,4,7,3,5,1,5,5,
%T A380688 2,1,7,8,5,3,4,7,2,4,8,6,5,2,9,9,1,8,4,8,8,5,1,2,2,0,8,5,4,7,3,0,6,8,
%U A380688 3,4,0,8,9,6,0,9,3,2,5,2,2,9,3,1,4,0,9,8,0,3,5,7,6,4,3,6,1,9,4,7,9,3,4
%N A380688 Decimal expansion of Sum_{p prime} (p + 1)^3/((p - 1)^2*p^3).
%H A380688 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,2,-3}.
%F A380688 Equals 5*A085548 + A085541 - 12*A136141 + 8*A152441.
%F A380688 Equals P(2) + 5*P(3) + Sum_{k>=4} (8*k - 20) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 02 2025
%e A380688 4.1586396688963117979214456647351...
%o A380688 (PARI) sumeulerrat((p + 1)^3/((p - 1)^2*p^3)) \\ _Amiram Eldar_, Apr 02 2025
%Y A380688 Cf. A085541, A085548, A136141, A152441.
%K A380688 cons,nonn
%O A380688 1,1
%A A380688 _Artur Jasinski_, Mar 31 2025