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.

A065471 Decimal expansion of Product_{p prime} (1 - 1/(p^2*(p^2-1))).

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%I A065471 #17 Mar 16 2021 04:07:33
%S A065471 9,0,1,9,2,6,0,3,9,5,8,7,0,8,2,1,7,1,3,7,7,7,1,5,2,0,2,5,5,0,4,7,1,9,
%T A065471 3,4,1,5,2,5,5,5,4,5,3,1,5,5,5,5,5,3,5,8,3,5,8,4,3,3,3,2,7,2,8,9,2,9,
%U A065471 3,7,8,1,0,7,2,5,6,8,1,5,7,5,2,3,8,9,0,4,9,9,9,0,1,0,3,3,8,0
%N A065471 Decimal expansion of Product_{p prime} (1 - 1/(p^2*(p^2-1))).
%H A065471 G. Niklasch, <a href="/A001692/a001692.html">Some number theoretical constants: 1000-digit values</a>. [Cached copy]
%H A065471 G. Niklasch, <a href="http://guests.mpim-bonn.mpg.de/moree/Moree-details.en.shtml#t17-anon">1000-digit value</a>.
%e A065471 0.90192603958708217137771520255047...
%t A065471 $MaxExtraPrecision = 500; digits = 98; terms = 500; P[n_] := PrimeZetaP[n]; LR = Join[{0, 0, 0, 0}, LinearRecurrence[{0, 2, 0, 0, 0, -1}, {-4, 0, -6, 0, -12, 0}, terms + 10]]; r[n_Integer] := LR[[n]]; Exp[NSum[r[n]*P[n - 1]/(n - 1), {n, 3, terms}, NSumTerms -> terms, WorkingPrecision -> digits + 10]] // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Apr 18 2016 *)
%o A065471 (PARI) prodeulerrat(1 - 1/(p^2*(p^2-1))) \\ _Amiram Eldar_, Mar 16 2021
%Y A065471 Cf. A078086, A138402.
%K A065471 cons,nonn
%O A065471 0,1
%A A065471 _N. J. A. Sloane_, Nov 19 2001