cp's OEIS Frontend

A201940 Decimal expansion of x>0 satisfying x^2-1=e^(-x).

%I A201940 #6 Feb 07 2025 16:44:07
%S A201940 1,1,4,7,7,5,7,6,3,2,1,4,4,7,4,3,4,9,3,0,3,4,3,7,1,9,9,0,6,1,0,6,7,4,
%T A201940 7,6,6,4,3,4,6,1,9,1,2,4,4,6,2,9,3,5,9,9,1,5,2,8,4,5,4,4,0,8,2,6,9,0,
%U A201940 5,7,7,9,2,1,8,8,7,0,9,8,1,9,2,4,6,7,6,7,8,1,0,0,1,4,5,5,6,2,6
%N A201940 Decimal expansion of x>0 satisfying x^2-1=e^(-x).
%C A201940 See A201936 for a guide to related sequences. The Mathematica program includes a graph.
%e A201940 x=1.147757632144743493034371990610674766434...
%t A201940 a = 1; b = 0; c = -1;
%t A201940 f[x_] := a*x^2 + b*x + c; g[x_] := E^-x
%t A201940 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A201940 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A201940 RealDigits[r]  (* A201940 *)
%Y A201940 Cf. A201936.
%K A201940 nonn,cons
%O A201940 1,3
%A A201940 _Clark Kimberling_, Dec 13 2011