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.

A198870 Decimal expansion of x>0 satisfying 2*x^2+3*cos(x)=4.

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%I A198870 #14 Feb 07 2025 16:44:05
%S A198870 1,2,1,6,2,3,8,8,0,9,4,6,6,3,9,3,2,9,0,5,9,9,6,2,5,7,6,7,0,2,9,3,4,3,
%T A198870 2,9,1,1,5,4,4,7,0,4,5,7,2,0,2,5,3,0,0,3,1,9,4,0,7,1,1,9,0,7,8,9,7,3,
%U A198870 6,1,8,0,1,4,4,6,3,8,5,6,4,9,9,0,4,4,3,4,8,4,7,0,9,9,3,6,4,0,0,8
%N A198870 Decimal expansion of x>0 satisfying 2*x^2+3*cos(x)=4.
%C A198870 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198870 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198870 1.216238809466393290599625767029343291154470...
%t A198870 a = 2; b = 3; c = 4;
%t A198870 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198870 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198870 r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t A198870 RealDigits[r] (* A198870 *)
%Y A198870 Cf. A198755.
%K A198870 nonn,cons
%O A198870 1,2
%A A198870 _Clark Kimberling_, Oct 31 2011