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.

A200591 Decimal expansion of least x>0 satisfying 3*x^2-2*x+3=tan(x).

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%I A200591 #6 Feb 07 2025 16:44:07
%S A200591 1,4,0,9,3,5,0,0,7,6,3,7,9,6,7,8,1,0,7,7,5,7,3,1,7,0,2,9,9,8,5,0,0,0,
%T A200591 4,0,7,4,9,7,2,0,6,8,4,7,2,1,1,2,1,6,5,6,8,6,5,3,2,9,6,0,1,8,5,7,2,0,
%U A200591 6,9,8,1,1,3,4,5,0,3,2,2,5,6,5,6,7,9,6,1,9,3,7,3,3,8,0,3,7,4,9
%N A200591 Decimal expansion of least x>0 satisfying 3*x^2-2*x+3=tan(x).
%C A200591 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200591 x=1.40935007637967810775731702998500040749720...
%t A200591 a = 3; b = -2; c = 3;
%t A200591 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200591 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200591 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200591 RealDigits[r]    (* A200591 *)
%Y A200591 Cf. A200338.
%K A200591 nonn,cons
%O A200591 1,2
%A A200591 _Clark Kimberling_, Nov 19 2011