cp's OEIS Frontend

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.

A382562 Decimal expansion of Sum_{p prime} 1/(p^2*(p + 1)).

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%I A382562 #6 Apr 01 2025 19:50:59
%S A382562 1,2,2,0,1,7,4,9,3,7,7,6,8,6,2,2,5,7,4,9,1,4,4,8,7,7,6,7,4,5,5,0,3,1,
%T A382562 7,3,5,2,8,9,7,1,9,2,3,7,6,5,8,2,1,9,6,5,5,8,6,1,9,0,3,2,9,5,8,8,7,4,
%U A382562 2,8,6,0,5,7,1,0,0,2,9,3,0,1,2,7,2,5,4,3,3,6,8,4,1,6,7,1,7,5,5,1,0
%N A382562 Decimal expansion of Sum_{p prime} 1/(p^2*(p + 1)).
%H A382562 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {2,0,1}.
%F A382562 Equals A085548 - A179119.
%F A382562 Equals Sum_{k>=3} (-1)^(k+1) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 01 2025
%e A382562 0.1220174937768622574914487767455031735289719237658219655861903295887428605710029...
%o A382562 (PARI) sumeulerrat(1/(p^2*(p+1))) \\ _Amiram Eldar_, Apr 01 2025
%Y A382562 Cf. A085548, A179119.
%K A382562 nonn,cons
%O A382562 0,2
%A A382562 _Artur Jasinski_, Mar 31 2025