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.

A198844 Decimal expansion of x>0 satisfying x^2-4*cos(x)=-3.

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%I A198844 #8 Feb 07 2025 16:44:05
%S A198844 5,8,2,8,1,3,0,0,3,4,7,1,8,1,3,8,3,2,1,9,9,9,4,8,8,0,1,1,0,4,9,7,0,5,
%T A198844 9,8,5,8,7,5,3,4,5,3,2,3,3,2,6,7,1,6,4,6,4,5,7,8,0,3,1,6,0,3,8,1,6,6,
%U A198844 0,0,2,5,0,5,2,6,0,1,8,4,0,2,6,3,0,0,9,0,5,2,0,4,6,4,3,1,5,2,7
%N A198844 Decimal expansion of x>0 satisfying x^2-4*cos(x)=-3.
%C A198844 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198844 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198844 0.582813003471813832199948801104970598587534532...
%t A198844 a = 1; b = -4; c = -3;
%t A198844 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198844 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198844 r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]
%t A198844 RealDigits[r] (* A198844 *)
%Y A198844 Cf. A198755.
%K A198844 nonn,cons
%O A198844 0,1
%A A198844 _Clark Kimberling_, Oct 30 2011