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 A382567 #6 Apr 01 2025 19:50:47
%S A382567 0,8,5,7,5,2,6,2,2,1,0,7,6,0,9,9,3,4,0,6,3,1,4,6,2,1,6,7,3,9,3,9,3,7,
%T A382567 9,3,0,0,6,8,8,5,7,6,7,2,9,5,3,0,8,6,5,7,1,9,6,5,3,2,4,5,0,2,7,8,6,0,
%U A382567 4,0,2,1,7,2,8,6,5,3,6,9,7,9,9,6,2,2,2,1,8,2,2,4,9,3,3,9,5,5,8,6,7,7,9,5
%N A382567 Decimal expansion of Sum_{p prime} 1/(p*(p + 1)^2).
%H A382567 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {1,0,2}.
%F A382567 Equals A179119 - A382554.
%F A382567 Equals Sum_{k>=3} (-1)^(k+1) * (k-2) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382567 0.0857526221076099340631462167393937930068857672953086571965324502786040217286...
%o A382567 (PARI) sumeulerrat(1/(p*(p+1)^2)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382567 Cf. A179119, A382554.
%K A382567 nonn,cons
%O A382567 0,2
%A A382567 _Artur Jasinski_, Mar 31 2025