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.

A199001 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=-1.

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%I A199001 #8 Feb 07 2025 19:46:03
%S A199001 7,1,2,0,5,4,2,4,6,3,1,4,6,4,9,9,4,1,7,2,1,2,6,8,9,9,4,5,6,1,0,4,2,6,
%T A199001 0,4,9,6,5,7,7,1,0,1,1,5,1,6,9,5,8,0,7,3,8,3,0,0,9,8,8,9,4,8,7,9,5,0,
%U A199001 0,2,4,2,0,8,9,7,4,7,7,6,1,4,2,7,9,1,7,4,3,9,5,6,5,0,5,9,6,9,0
%N A199001 Decimal expansion of x>0 satisfying 4*x^2-4*cos(x)=-1.
%C A199001 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A199001 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199001 0.712054246314649941721268994561042604965771...
%t A199001 a = 4; b = -4; c = -1;
%t A199001 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A199001 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199001 r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110]
%t A199001 RealDigits[r] (* A199001 *)
%Y A199001 Cf. A198755.
%K A199001 nonn,cons
%O A199001 0,1
%A A199001 _Clark Kimberling_, Nov 01 2011