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.

A199462 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=2*cos(x).

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%I A199462 #9 Feb 08 2025 09:58:45
%S A199462 1,7,5,6,0,2,6,6,9,2,4,5,9,7,0,3,4,3,2,9,4,2,5,3,3,4,8,9,2,6,4,2,3,9,
%T A199462 2,3,5,8,1,0,8,1,2,7,8,0,7,1,8,9,9,0,8,7,2,7,0,9,2,3,9,0,3,3,7,1,8,2,
%U A199462 4,9,9,5,0,7,4,5,3,3,0,2,3,0,8,4,1,0,3,0,8,4,9,5,1,0,5,1,6,9,1
%N A199462 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=2*cos(x).
%C A199462 See A199429 for a guide to related sequences. The Mathematica program includes a graph.
%H A199462 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199462 1.7560266924597034329425334892642392358108127...
%t A199462 a = 1; b = -2; c = 2;
%t A199462 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
%t A199462 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
%t A199462 r = x /. FindRoot[f[x] == g[x], {x, 1.75, 1.76}, WorkingPrecision -> 110]
%t A199462 RealDigits[r]  (* A199462 *)
%Y A199462 Cf. A199429.
%K A199462 nonn,cons
%O A199462 1,2
%A A199462 _Clark Kimberling_, Nov 07 2011