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 A382583 #9 Apr 03 2025 01:43:12
%S A382583 0,4,6,7,0,0,7,3,2,0,9,3,3,5,2,4,0,7,0,0,1,5,2,3,1,2,1,2,1,8,8,9,2,1,
%T A382583 1,6,5,1,1,8,2,8,8,3,6,3,7,8,4,0,8,5,0,6,1,9,1,7,1,6,7,1,6,5,9,5,5,1,
%U A382583 1,8,4,1,3,2,0,0,3,3,1,3,9,1,2,0,4,1,3,5,7,5,1,1,8,0,7,0,2,9,7,0,5,7
%N A382583 Decimal expansion of Sum_{p prime} 1/((p - 1)*p^3*(p + 1)).
%H A382583 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {3,1,1}.
%F A382583 Equals -A085541 + A136141/2 - A179119/2.
%F A382583 Equals Sum_{k>=3} P(2*k-1), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382583 0.04670073209335240700152312121889211651182883637840850619171671659551184132...
%o A382583 (PARI) sumeulerrat(1/((p-1)*p^3*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382583 Cf. A085541, A136141, A179119.
%K A382583 nonn,cons
%O A382583 0,2
%A A382583 _Artur Jasinski_, Mar 31 2025