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.

A198885 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=1.

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%I A198885 #8 Feb 07 2025 17:46:37
%S A198885 1,1,4,8,6,6,0,1,3,5,6,9,8,6,6,5,9,8,7,7,2,6,9,4,2,4,6,8,0,3,2,4,4,1,
%T A198885 7,6,7,5,1,4,3,2,2,2,4,5,7,6,3,6,4,9,4,0,2,9,5,2,7,5,3,8,8,3,3,4,1,2,
%U A198885 7,0,4,7,7,4,6,6,8,7,3,1,1,6,8,7,6,3,4,2,6,6,1,8,1,7,5,1,6,4,1
%N A198885 Decimal expansion of x>0 satisfying 2*x^2-4*cos(x)=1.
%C A198885 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198885 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198885 1.1486601356986659877269424680324417675143222...
%t A198885 a = 2; b = -4; c = 1;
%t A198885 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198885 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198885 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A198885 RealDigits[r]  (* A198885 *)
%Y A198885 Cf. A198755.
%K A198885 nonn,cons
%O A198885 1,3
%A A198885 _Clark Kimberling_, Oct 31 2011