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.

A198843 Decimal expansion of x>0 satisfying x^2-4*cos(x)=-2.

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%I A198843 #8 Feb 07 2025 16:44:05
%S A198843 8,3,2,2,9,6,4,6,2,4,2,0,4,5,4,8,1,5,8,3,2,6,8,9,6,3,9,1,5,4,8,3,8,2,
%T A198843 7,3,9,2,3,2,7,3,3,4,7,5,9,0,9,2,0,9,5,3,8,4,6,3,3,1,8,2,9,9,0,7,2,2,
%U A198843 1,4,3,1,4,2,2,9,9,5,9,5,8,8,0,4,2,3,4,0,0,9,8,4,3,7,6,4,4,3,4
%N A198843 Decimal expansion of x>0 satisfying x^2-4*cos(x)=-2.
%C A198843 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198843 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198843 0.832296462420454815832689639154838273923273...
%t A198843 a = 1; b = -4; c = -2;
%t A198843 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198843 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198843 r = x /. FindRoot[f[x] == g[x], {x, .83, .84}, WorkingPrecision -> 110]
%t A198843 RealDigits[r] (* A198843 *)
%Y A198843 Cf. A198755.
%K A198843 nonn,cons
%O A198843 0,1
%A A198843 _Clark Kimberling_, Oct 30 2011