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.

A202496 Decimal expansion of x satisfying x=e^(-x-2).

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%I A202496 #9 Feb 07 2025 16:44:07
%S A202496 1,2,0,0,2,8,2,3,8,9,8,7,6,4,1,2,2,9,4,8,4,6,8,7,9,7,5,2,7,1,8,4,9,2,
%T A202496 4,4,9,3,9,1,4,7,3,6,6,1,3,6,8,6,8,7,6,8,5,2,7,6,2,6,0,1,0,7,7,7,7,3,
%U A202496 7,9,3,6,0,8,6,4,9,8,6,4,3,3,2,1,5,5,6,8,6,0,4,1,7,7,1,0,3,4,8
%N A202496 Decimal expansion of x satisfying x=e^(-x-2).
%C A202496 See A202348 for a guide to related sequences. The Mathematica program includes a graph.
%e A202496 x=0.120028238987641229484687975271849244939147...
%t A202496 u = -1; v = -2;
%t A202496 f[x_] := x; g[x_] := E^(u*x + v)
%t A202496 Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t A202496 r = x /. FindRoot[f[x] == g[x], {x, .12, .13}, WorkingPrecision -> 110]
%t A202496 RealDigits[r]   (* A202496 *)
%t A202496 RealDigits[ ProductLog[1/E^2], 10, 99] // First (* _Jean-François Alcover_, Feb 27 2013 *)
%Y A202496 Cf. A202348.
%K A202496 nonn,cons
%O A202496 0,2
%A A202496 _Clark Kimberling_, Dec 20 2011