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.

A197849 Decimal expansion of least x having x^2-2x=-2*cos(x).

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%I A197849 #6 Feb 07 2025 16:44:04
%S A197849 1,0,4,8,5,5,8,3,5,9,4,9,0,4,9,4,0,9,5,7,5,8,5,6,5,2,6,4,0,4,5,4,9,3,
%T A197849 1,9,3,1,5,3,0,9,0,2,5,3,2,8,2,2,4,6,8,1,8,8,4,3,1,1,0,2,4,1,5,1,3,5,
%U A197849 8,8,9,5,6,0,0,5,9,0,8,9,1,7,5,2,4,4,2,1,8,2,9,9,7,0,9,5,4,0,1
%N A197849 Decimal expansion of least x having x^2-2x=-2*cos(x).
%C A197849 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A197849 least x: 1.048558359490494095758565264045...
%e A197849 greatest x: 2.667028464105801792635542129...
%t A197849 a = 1; b = -2; c = -2;
%t A197849 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A197849 Plot[{f[x], g[x]}, {x, 0, 3}]
%t A197849 r1 = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]
%t A197849 RealDigits[r1] (* A197849 *)
%t A197849 r2 = x /. FindRoot[f[x] == g[x], {x, 2.6, 2.7}, WorkingPrecision -> 110]
%t A197849 RealDigits[r2] (* A197850 *)
%Y A197849 Cf. A197737.
%K A197849 nonn,cons
%O A197849 1,3
%A A197849 _Clark Kimberling_, Oct 21 2011