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.

A199727 Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=4*sin(x).

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%I A199727 #9 Feb 08 2025 22:24:42
%S A199727 1,7,4,3,6,8,8,9,5,6,4,9,1,3,0,2,3,1,6,1,6,2,9,2,1,5,5,3,0,1,3,6,0,0,
%T A199727 8,5,3,4,0,4,4,2,1,2,6,5,1,5,2,8,7,9,2,8,4,2,3,0,9,1,7,6,0,3,6,8,5,9,
%U A199727 2,4,2,1,5,3,6,5,0,9,1,4,4,6,5,7,6,4,8,3,9,1,2,3,1,9,0,1,7,1,2
%N A199727 Decimal expansion of x>0 satisfying x^2-3*x*cos(x)=4*sin(x).
%C A199727 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199727 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199727 1.7436889564913023161629215530136008534044...
%t A199727 a = 1; b = -3; c = 4;
%t A199727 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199727 Plot[{f[x], g[x]}, {x, -2 Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199727 r = x /. FindRoot[f[x] == g[x], {x, 1.74, 1.75}, WorkingPrecision -> 110]
%t A199727 RealDigits[r]    (* A199727 *)
%Y A199727 Cf. A199597.
%K A199727 nonn,cons
%O A199727 1,2
%A A199727 _Clark Kimberling_, Nov 09 2011