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.

A198814 Decimal expansion of x>0 satisfying x^2+4*cos(x)=3.

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%I A198814 #8 Feb 07 2025 16:44:05
%S A198814 1,1,1,7,8,9,0,5,8,7,7,5,6,7,5,3,7,5,9,7,9,6,8,8,7,1,6,9,5,7,9,1,6,2,
%T A198814 9,5,6,1,8,6,1,7,5,8,7,0,3,7,5,4,0,6,9,4,6,9,4,6,7,1,9,3,0,1,4,5,1,3,
%U A198814 9,9,2,4,3,9,1,1,8,6,3,1,6,2,9,5,3,1,4,1,9,6,9,3,8,1,0,2,5,1,5
%N A198814 Decimal expansion of x>0 satisfying x^2+4*cos(x)=3.
%C A198814 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198814 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198814 x=1.117890587756753759796887169579162956186...
%t A198814 a = 1; b = 4; c = 3;
%t A198814 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198814 Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t A198814 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A198814 RealDigits[r] (* A198814 *)
%Y A198814 Cf. A198755.
%K A198814 nonn,cons
%O A198814 1,4
%A A198814 _Clark Kimberling_, Oct 30 2011