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.

A202497 Decimal expansion of x satisfying x=e^(-2x-2).

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%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