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 A065480 #31 Mar 14 2021 05:14:29 %S A065480 6,6,9,5,8,0,2,9,0,5,3,9,0,6,2,3,6,7,6,3,5,0,2,5,6,9,5,6,1,2,4,3,4,2, %T A065480 2,7,2,1,7,3,3,9,8,2,5,4,1,6,2,3,3,0,2,5,6,2,4,6,5,4,6,2,6,3,3,0,9,8, %U A065480 3,6,6,1,9,9,5,4,7,2,4,5,7,1,4,5,7,5,6,6,2,6,0,3,8,6,9,6,3,8 %N A065480 Decimal expansion of Product_{p prime} (1 - 1/(p^2+p-1)). %C A065480 The probability that two numbers are coprime given that they are both coprime to a randomly chosen third number. - _Luke Palmer_, Apr 27 2019 %H A065480 G. Niklasch, <a href="/A001692/a001692.html">Some number theoretical constants: 1000-digit values</a>. [Cached copy] %F A065480 Equals A065473*zeta(2)/A065463. - _Luke Palmer_, Apr 27 2019 %e A065480 0.6695802905390623676350256956124342... %t A065480 digits = 98; Exp[NSum[(1/2)*(-2 + (-2)^n - ((1/2)*(-1 - Sqrt[5]))^n*(-1 + Sqrt[5]) + ((1/2)*(-1 + Sqrt[5]))^n*(1 + Sqrt[5]))*PrimeZetaP[n - 1]/(n - 1), {n, 3, Infinity}, WorkingPrecision -> 4 digits, Method -> "AlternatingSigns"]] // RealDigits[#, 10, digits]& // First (* _Jean-François Alcover_, Apr 18 2016 *) %o A065480 (PARI) prodeulerrat(1 - 1/(p^2+p-1)) \\ _Amiram Eldar_, Mar 14 2021 %Y A065480 Cf. A065592, A078081. %Y A065480 Cf. A013661, A065463, A065473. %K A065480 cons,nonn %O A065480 0,1 %A A065480 _N. J. A. Sloane_, Nov 19 2001