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.

A198226 Decimal expansion of least x having 3*x^2+2x=3*cos(x).

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%I A198226 #6 Feb 07 2025 16:44:05
%S A198226 1,0,9,0,4,3,8,2,5,6,0,3,8,8,7,4,4,0,8,9,2,5,2,0,3,5,1,2,6,0,6,8,0,6,
%T A198226 5,3,7,2,5,2,4,7,5,9,2,4,1,5,3,5,9,8,0,5,0,3,7,7,3,9,4,4,1,1,3,8,6,7,
%U A198226 7,7,3,1,4,3,0,8,6,0,7,4,9,8,1,3,9,1,7,6,9,1,1,0,3,1,0,8,4,7,7
%N A198226 Decimal expansion of least x having 3*x^2+2x=3*cos(x).
%C A198226 See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e A198226 least x: -1.0904382560388744089252035126068065372...
%e A198226 greatest x: 0.626466337849291863012350106335876205...
%t A198226 a = 3; b = 2; c = 3;
%t A198226 f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t A198226 Plot[{f[x], g[x]}, {x, -2, 1}]
%t A198226 r1 = x /. FindRoot[f[x] == g[x], {x, -1.1, -1.08}, WorkingPrecision -> 110]
%t A198226 RealDigits[r1] (* A198226 *)
%t A198226 r2 = x /. FindRoot[f[x] == g[x], {x, .62, .63}, WorkingPrecision -> 110]
%t A198226 RealDigits[r2] (* A198227 *)
%Y A198226 Cf. A197737.
%K A198226 nonn,cons
%O A198226 1,3
%A A198226 _Clark Kimberling_, Oct 23 2011