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 A382576 #6 Apr 01 2025 20:21:38
%S A382576 1,8,3,7,6,1,0,0,7,6,6,9,4,5,6,9,3,4,1,0,4,5,4,9,7,7,2,5,1,9,2,5,9,6,
%T A382576 4,2,9,1,7,0,4,6,9,0,7,8,0,7,0,7,0,5,5,6,3,3,4,3,8,0,7,8,2,1,7,8,7,0,
%U A382576 2,6,1,6,0,0,4,2,5,0,9,9,0,4,9,1,2,0,2,0,8,5,4,5,9,7,1,0,6,0,8,4,7,1
%N A382576 Decimal expansion of Sum_{p prime} p/(p + 1)^3.
%H A382576 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {-1,0,3}.
%F A382576 Equals A382554 - A382555.
%F A382576 Equals Sum_{k>=2} (-1)^k * ((k-1)*k/2) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382576 0.183761007669456934104549772519259642917046907807070556334380782178702616004...
%o A382576 (PARI) sumeulerrat(p/(p+1)^3) \\ _Amiram Eldar_, Apr 01 2025
%Y A382576 Cf. A382554, A382555.
%K A382576 nonn,cons
%O A382576 0,2
%A A382576 _Artur Jasinski_, Mar 31 2025