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.

A198758 Decimal expansion of x>0 satisfying x^2+2*cos(x)=3.

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%I A198758 #8 Feb 07 2025 16:44:05
%S A198758 1,9,1,8,9,2,7,8,1,6,3,3,5,2,4,4,2,9,7,2,0,4,4,7,6,8,9,0,0,4,0,2,8,3,
%T A198758 7,0,1,3,5,4,5,6,7,7,7,3,7,9,5,4,2,6,8,9,5,0,9,7,4,0,7,7,0,7,4,9,6,0,
%U A198758 4,7,6,7,4,1,4,5,7,8,9,0,6,7,6,8,4,6,0,3,0,3,8,8,1,4,2,9,4,3,2
%N A198758 Decimal expansion of x>0 satisfying x^2+2*cos(x)=3.
%C A198758 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198758 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198758 x=1.918927816335244297204476890040283701354...
%t A198758 a = 1; b = 2; c = 3;
%t A198758 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198758 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198758 r = x /. FindRoot[f[x] == g[x], {x, 1.9, 2.0}, WorkingPrecision -> 110]
%t A198758 RealDigits[r]    (* A198758 *)
%Y A198758 Cf. A198755.
%K A198758 nonn,cons
%O A198758 1,2
%A A198758 _Clark Kimberling_, Oct 30 2011