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.

A198825 Decimal expansion of x>0 satisfying x^2-2*cos(x)=-1.

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%I A198825 #8 Feb 07 2025 16:44:05
%S A198825 7,1,4,6,2,1,0,5,7,7,7,9,2,8,3,5,7,1,3,0,7,6,0,2,6,8,1,4,9,2,2,6,1,1,
%T A198825 5,1,3,1,7,1,8,9,3,0,0,0,0,5,5,8,0,5,6,5,3,8,1,1,2,8,4,2,0,0,8,7,1,9,
%U A198825 2,0,8,9,2,5,7,3,5,9,3,6,7,9,3,6,9,5,7,0,7,1,1,9,2,8,0,7,1,7,1
%N A198825 Decimal expansion of x>0 satisfying x^2-2*cos(x)=-1.
%C A198825 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198825 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198825 0.71462105777928357130760268149226115131718930000...
%t A198825 a = 1; b = -2; c = -1;
%t A198825 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198825 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198825 r = x /. FindRoot[f[x] == g[x], {x, .7, .72}, WorkingPrecision -> 110]
%t A198825 RealDigits[r] (* A198825 *)
%Y A198825 Cf. A198755.
%K A198825 nonn,cons
%O A198825 0,1
%A A198825 _Clark Kimberling_, Oct 30 2011