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.

A198361 Decimal expansion of least x having 4*x^2+3x=cos(x).

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%I A198361 #6 Feb 07 2025 16:44:05
%S A198361 9,1,6,1,5,1,0,6,1,0,9,6,8,3,5,7,7,0,0,0,1,3,5,0,7,2,8,0,3,9,4,6,3,9,
%T A198361 1,8,9,1,2,6,5,1,0,6,8,0,9,3,7,1,6,1,7,1,8,8,4,2,5,1,7,8,5,3,2,1,3,7,
%U A198361 6,0,0,8,0,0,5,1,4,4,9,3,8,7,1,5,7,8,9,2,0,1,9,0,1,3,3,8,3,9,8
%N A198361 Decimal expansion of least x having 4*x^2+3x=cos(x).
%C A198361 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198361 least x: -0.91615106109683577000135072803946391...
%e A198361 greatest x: 0.244045322629135591466858282939448079493...
%t A198361 a = 4; b = 3; c = 1;
%t A198361 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198361 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198361 r1 = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
%t A198361 RealDigits[r1] (* A198361 *)
%t A198361 r2 = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
%t A198361 RealDigits[r2] (* A198362 *)
%Y A198361 Cf. A197737.
%K A198361 nonn,cons
%O A198361 0,1
%A A198361 _Clark Kimberling_, Oct 24 2011