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.

A198835 Decimal expansion of x>0 satisfying x^2-3*cos(x)=-1.

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%I A198835 #9 Feb 07 2025 16:44:05
%S A198835 9,1,3,1,3,2,0,0,0,7,8,5,9,1,6,0,4,1,7,3,6,8,0,8,6,0,0,1,2,3,1,6,5,7,
%T A198835 4,6,8,7,3,0,2,8,8,6,2,2,9,7,7,5,6,4,7,1,7,7,8,2,3,4,5,1,2,9,8,8,2,7,
%U A198835 5,5,0,2,8,5,8,0,0,7,1,3,9,1,2,9,9,6,3,9,0,7,0,5,8,9,4,3,8,5,3
%N A198835 Decimal expansion of x>0 satisfying x^2-3*cos(x)=-1.
%C A198835 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198835 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198835 0.91313200078591604173680860012316574687302...
%t A198835 a = 1; b = -3; c = -1;
%t A198835 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198835 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198835 r = x /. FindRoot[f[x] == g[x], {x, .9, 1}, WorkingPrecision -> 110]
%t A198835 RealDigits[r] (* A198835 *)
%Y A198835 Cf. A198755.
%K A198835 nonn,cons
%O A198835 0,1
%A A198835 _Clark Kimberling_, Oct 30 2011