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.

A198874 Decimal expansion of x>0 satisfying 2*x^2-cos(x)=4.

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%I A198874 #8 Feb 07 2025 16:44:05
%S A198874 1,4,3,7,5,1,3,2,6,8,4,1,3,4,2,0,3,0,4,2,5,7,2,3,4,1,4,7,0,9,5,9,2,7,
%T A198874 5,3,7,4,2,3,8,8,0,9,3,2,4,6,4,4,9,0,6,5,7,3,7,1,7,5,5,3,6,6,9,4,6,9,
%U A198874 7,9,6,0,1,3,0,3,4,3,0,3,7,8,9,2,6,1,8,6,7,1,3,9,6,0,8,4,2,6,5
%N A198874 Decimal expansion of x>0 satisfying 2*x^2-cos(x)=4.
%C A198874 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198874 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198874 1.437513268413420304257234147095927537423880...
%t A198874 a = 2; b = -1; c = 4;
%t A198874 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198874 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198874 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A198874 RealDigits[r] (* A198874 *)
%Y A198874 Cf. A198755.
%K A198874 nonn,cons
%O A198874 1,2
%A A198874 _Clark Kimberling_, Oct 31 2011