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.

A199741 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=2*sin(x).

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%I A199741 #14 Feb 08 2025 22:32:53
%S A199741 1,0,6,4,2,3,0,2,2,2,8,7,1,0,7,3,0,2,6,1,0,0,2,1,4,1,1,4,3,2,9,4,3,7,
%T A199741 0,9,6,1,8,8,5,3,9,5,1,3,2,8,5,9,0,3,4,3,2,7,7,7,8,0,7,8,2,9,8,7,6,2,
%U A199741 3,4,5,8,5,6,7,8,1,2,6,1,3,4,2,7,5,4,9,5,8,7,5,5,7,3,7,3,5,6,0
%N A199741 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=2*sin(x).
%C A199741 See A199597 for a guide to related sequences. The Mathematica program includes a graph.
%H A199741 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199741 1.0642302228710730261002141143294370961885395132859...
%t A199741 a = 2; b = -1; c = 2;
%t A199741 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
%t A199741 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]
%t A199741 r = x /. FindRoot[f[x] == g[x], {x, 1.06, 1.07}, WorkingPrecision -> 110]
%t A199741 RealDigits[r]   (* A199741 *)
%Y A199741 Cf. A199597.
%K A199741 nonn,cons
%O A199741 1,3
%A A199741 _Clark Kimberling_, Nov 10 2011
%E A199741 Name corrected by _Sean A. Irvine_, Jan 12 2025