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.

A380689 Decimal expansion of Sum_{p prime} (p + 1)^3/((p - 1)^3*p^2).

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%I A380689 #15 Apr 02 2025 06:30:35
%S A380689 7,8,6,6,6,6,5,3,9,7,3,3,1,8,0,4,4,9,2,4,7,6,9,1,9,3,2,2,4,7,0,6,9,0,
%T A380689 8,5,5,9,7,8,9,3,4,7,1,6,7,5,8,8,5,2,0,7,5,4,9,9,4,5,3,1,2,1,8,2,8,4,
%U A380689 1,5,0,1,4,6,4,5,6,3,1,9,4,2,6,1,5,4,2,2,6,9,7,9,0,0,1,9,3,1,6,7,6,5,3,8,3,6
%N A380689 Decimal expansion of Sum_{p prime} (p + 1)^3/((p - 1)^3*p^2).
%H A380689 <a href="/wiki/Index_to_constants#Start_of_section_P">Index to constants which are prime zeta sums</a> {2,3,-3}.
%F A380689 Equals -A085548 + 6*A136141 - 4*A086242 + 8*A380840.
%F A380689 Equals P(2) + Sum_{k>=3} (4*k^2 - 16*k + 18) * P(k), where P is the prime zeta function. - _Amiram Eldar_, Apr 02 2025
%e A380689 7.86666539733180449247691932247069085597893471675885...
%o A380689 (PARI) sumeulerrat((p + 1)^3/((p - 1)^3*p^2)) \\ _Amiram Eldar_, Apr 02 2025
%Y A380689 Cf. A085548, A086242, A136141, A380840.
%K A380689 nonn,cons
%O A380689 1,1
%A A380689 _Artur Jasinski_, Mar 31 2025