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.

A195423 Decimal expansion of -2B = sum(r in Z, 1/(r*(1-r))), where Z is the set of zeros of the Riemann zeta function which lie in the strip 0 <= Re(z) <= 1.

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%I A195423 #15 Mar 27 2024 20:12:28
%S A195423 0,4,6,1,9,1,4,1,7,9,3,2,2,4,2,0,6,7,6,2,8,6,2,0,4,9,5,8,1,2,9,9,0,5,
%T A195423 8,3,2,4,3,8,6,4,2,5,4,3,0,4,1,0,1,5,1,9,0,5,0,7,8,4,1,4,4,4,2,5,9,4,
%U A195423 2,7,1,2,9,5,3,4,4,9,1,5,9,9,4,1,5,9,7,1,3,9,0,2,3,4,1,9,6,6,6,7,2
%N A195423 Decimal expansion of -2B = sum(r in Z, 1/(r*(1-r))), where Z is the set of zeros of the Riemann zeta function which lie in the strip 0 <= Re(z) <= 1.
%C A195423 See A074760 for references and links.
%F A195423 As a constant, equals 2*A074760.
%e A195423 -2B = gamma + 2 - log(4*Pi) = 0.046191417932242...
%t A195423 RealDigits[ N[ EulerGamma + 2 - Log[4*Pi], 105], 10, 100] [[1]]
%o A195423 (PARI) Euler-log(4*Pi)+2 \\ _Charles R Greathouse IV_, Mar 10 2016
%Y A195423 Cf. A002410, A074760, A233825.
%K A195423 cons,nonn
%O A195423 0,2
%A A195423 _Jonathan Sondow_, Sep 18 2011