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.

A198373 Decimal expansion of least x having 4*x^2-4x=cos(x).

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%I A198373 #6 Feb 07 2025 16:44:05
%S A198373 3,6,9,9,4,8,1,7,0,5,8,9,8,6,6,5,2,8,6,9,1,6,0,2,0,8,8,6,2,0,2,9,5,2,
%T A198373 2,3,4,7,7,1,8,4,0,7,6,5,5,2,3,8,5,9,0,0,3,7,1,8,4,1,4,6,5,1,5,5,7,4,
%U A198373 0,2,7,9,2,0,1,4,5,2,4,1,6,9,0,1,6,1,6,5,5,9,1,3,0,6,1,6,0,7,8
%N A198373 Decimal expansion of least x having 4*x^2-4x=cos(x).
%C A198373 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198373 least x: 0.369948170589866528691602088620295223...
%e A198373 greatest x: 0.7633945382101923369926745363848376145...
%t A198373 a = 4; b = -4; c = -1;
%t A198373 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198373 Plot[{f[x], g[x]}, {x, -1, 1}]
%t A198373 r1 = x /. FindRoot[f[x] == g[x], {x, .36, .37}, WorkingPrecision -> 110]
%t A198373 RealDigits[r1] (* A198373 *)
%t A198373 r2 = x /. FindRoot[f[x] == g[x], {x, .76, .77}, WorkingPrecision -> 110]
%t A198373 RealDigits[r2] (* A198374 *)
%Y A198373 Cf. A197737.
%K A198373 nonn,cons
%O A198373 0,1
%A A198373 _Clark Kimberling_, Oct 24 2011