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.

A198993 Decimal expansion of x>0 satisfying 4*x^2-2*cos(x)=3.

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%I A198993 #8 Feb 07 2025 19:42:07
%S A198993 1,0,0,8,2,9,2,1,6,7,8,8,8,8,3,5,4,7,1,4,2,7,8,0,9,8,5,3,9,9,1,6,8,6,
%T A198993 6,4,7,3,3,4,3,7,8,4,2,3,3,7,0,5,6,4,7,5,8,9,0,9,4,7,0,9,9,4,1,4,9,0,
%U A198993 7,7,0,2,7,0,2,1,1,3,1,6,0,4,8,7,8,2,8,5,2,0,9,5,5,3,8,6,2,5,4
%N A198993 Decimal expansion of x>0 satisfying 4*x^2-2*cos(x)=3.
%C A198993 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198993 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198993 1.008292167888835471427809853991686647334378423...
%t A198993 a = 4; b = -2; c = 3;
%t A198993 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198993 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198993 r = x /. FindRoot[f[x] == g[x], {x, 1, 1.01}, WorkingPrecision -> 110]
%t A198993 RealDigits[r] (* A198993 *)
%Y A198993 Cf. A198755.
%K A198993 nonn,cons
%O A198993 1,4
%A A198993 _Clark Kimberling_, Nov 01 2011