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.

A198819 Decimal expansion of x>0 satisfying x^2-cos(x)=4.

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%I A198819 #8 Feb 07 2025 16:44:05
%S A198819 1,9,1,4,0,2,0,6,1,9,0,2,5,9,8,5,3,9,1,1,9,3,9,6,3,8,3,0,1,7,1,0,9,8,
%T A198819 0,4,2,9,3,7,9,5,9,9,7,3,2,8,1,0,6,5,5,8,5,5,0,8,5,5,4,0,9,1,0,8,0,6,
%U A198819 4,2,8,4,8,6,2,2,4,4,5,0,3,0,8,1,9,9,2,9,7,0,5,4,9,7,0,8,0,1,3
%N A198819 Decimal expansion of x>0 satisfying x^2-cos(x)=4.
%C A198819 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198819 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198819 1.91402061902598539119396383017109804293795997...
%t A198819 a = 1; b = -1; c = 4;
%t A198819 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198819 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198819 r = x /.
%t A198819   FindRoot[f[x] == g[x], {x, 1.9, 1.92}, WorkingPrecision -> 110]
%t A198819 RealDigits[r]  (* A198819 *)
%Y A198819 Cf. A198755.
%K A198819 nonn,cons
%O A198819 1,2
%A A198819 _Clark Kimberling_, Oct 30 2011