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.

A199459 Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-cos(x).

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%I A199459 #8 Feb 08 2025 09:57:34
%S A199459 2,0,1,7,7,4,6,7,6,0,9,2,2,1,1,8,4,5,3,5,4,7,3,0,6,4,1,9,4,0,3,2,6,0,
%T A199459 3,7,4,4,1,3,2,6,5,9,4,0,2,6,5,5,5,1,1,3,6,9,8,7,5,6,6,2,7,3,2,5,2,1,
%U A199459 2,0,5,9,7,9,4,3,2,3,0,1,0,7,9,6,8,1,4,3,8,5,4,2,4,7,5,5,7,4,3
%N A199459 Decimal expansion of greatest x satisfying x^2-2*x*sin(x)=-cos(x).
%C A199459 See A199370 for a guide to related sequences. The Mathematica program includes a graph.
%H A199459 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199459 2.01774676092211845354730641940326037441326594026555...
%t A199459 a = 1; b = -2; c = -1;
%t A199459 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199459 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199459 r = x /. FindRoot[f[x] == g[x], {x, 2.01, 2.02}, WorkingPrecision -> 110]
%t A199459 RealDigits[r]  (* A199459 greatest root *)
%Y A199459 Cf. A199429.
%K A199459 nonn,cons
%O A199459 1,1
%A A199459 _Clark Kimberling_, Nov 06 2011