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 A382569 #6 Apr 01 2025 19:51:59
%S A382569 0,1,6,4,8,0,2,7,3,8,5,3,3,2,8,9,5,5,5,0,3,3,6,1,9,7,7,9,1,4,0,9,4,1,
%T A382569 4,6,9,2,4,3,5,4,0,4,1,6,8,9,8,1,4,0,1,5,9,1,2,8,2,3,8,0,7,8,0,2,7,4,
%U A382569 9,8,9,0,1,1,4,7,7,7,4,2,5,3,7,7,3,4,7,7,0,9,1,0,2,9,6,8,6,0,9,0,2,1,4,8
%N A382569 Decimal expansion of Sum_{p prime} 1/(p^3*(p + 1)^2).
%H A382569 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,0,2}.
%F A382569 Equals -2*A085548 + A085541 + 3*A179119 - A382554.
%F A382569 Equals Sum_{k>=5} (-1)^(k+1) * (k-4) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382569 0.016480273853328955503361977914094146924354041689814015912823807...
%o A382569 (PARI) sumeulerrat(1/(p^3*(p+1)^2)) \\ _Amiram Eldar_, Apr 01 2025
%Y A382569 Cf. A085541, A085548, A179119, A382554.
%K A382569 nonn,cons
%O A382569 0,3
%A A382569 _Artur Jasinski_, Mar 31 2025