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.

A199598 Decimal expansion of x>0 satisfying x^2+x*cos(x)=3*sin(x).

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%I A199598 #8 Feb 08 2025 13:26:44
%S A199598 1,8,3,8,2,4,3,4,5,4,9,7,1,0,3,9,6,4,2,3,1,9,1,9,8,8,7,1,2,2,9,0,1,0,
%T A199598 2,1,4,4,8,8,8,0,1,5,0,0,3,3,4,7,8,3,4,0,0,4,6,9,5,6,8,7,1,4,5,3,1,4,
%U A199598 7,2,6,3,3,5,8,4,1,5,2,5,0,7,2,3,8,7,0,9,1,9,6,4,2,7,5,3,6,9,4
%N A199598 Decimal expansion of x>0 satisfying x^2+x*cos(x)=3*sin(x).
%C A199598 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199598 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199598 1.83824345497103964231919887122901021448880...
%t A199598 a = 1; b = 1; c = 3;
%t A199598 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199598 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199598 r = x /. FindRoot[f[x] == g[x], {x, 1.83, 1.84}, WorkingPrecision -> 110]
%t A199598 RealDigits[r]  (* A199598 *)
%Y A199598 Cf. A199597.
%K A199598 nonn,cons
%O A199598 1,2
%A A199598 _Clark Kimberling_, Nov 08 2011