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 A202497 #9 Feb 07 2025 16:44:07 %S A202497 1,0,8,8,5,7,5,5,2,8,7,8,5,4,5,0,5,5,3,9,7,3,7,9,1,5,2,2,1,6,5,6,4,0, %T A202497 7,3,9,9,4,4,4,5,9,7,4,9,8,9,8,8,5,0,0,3,4,9,0,5,1,7,3,2,1,3,6,7,0,4, %U A202497 2,0,4,7,1,9,5,6,0,9,2,3,1,7,5,9,3,4,6,3,6,0,3,2,2,5,1,0,1,3,7 %N A202497 Decimal expansion of x satisfying x=e^(-2x-2). %C A202497 See A202348 for a guide to related sequences. The Mathematica program includes a graph. %e A202497 x=0.1088575528785450553973791522165640739944... %t A202497 u = -2; v = -2; %t A202497 f[x_] := x; g[x_] := E^(u*x + v) %t A202497 Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}] %t A202497 r = x /. FindRoot[f[x] == g[x], {x, .1, .2}, WorkingPrecision -> 110] %t A202497 RealDigits[r] (* A202497 *) %t A202497 RealDigits[ ProductLog[2/E^2]/2, 10, 99] // First (* _Jean-François Alcover_, Feb 27 2013 *) %Y A202497 Cf. A202348. %K A202497 nonn,cons %O A202497 0,3 %A A202497 _Clark Kimberling_, Dec 20 2011