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.

A200391 Decimal expansion of least x>0 satisfying 3*x^2+2*x+1=tan(x).

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%I A200391 #8 Feb 07 2025 16:44:07
%S A200391 1,4,7,5,7,0,5,3,5,7,5,3,2,5,0,0,0,9,6,5,0,5,4,0,5,4,8,7,2,4,5,5,3,3,
%T A200391 3,9,5,9,5,3,2,0,1,8,2,9,2,4,3,0,6,4,3,0,3,6,4,3,6,2,5,1,1,3,0,2,8,4,
%U A200391 2,3,4,0,4,6,3,9,0,5,9,4,8,6,1,8,2,6,9,9,1,2,5,5,6,9,3,8,0,6,1
%N A200391 Decimal expansion of least x>0 satisfying 3*x^2+2*x+1=tan(x).
%C A200391 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200391 x=1.47570535753250009650540548724553339595320...
%t A200391 a = 3; b = 2; c = 1;
%t A200391 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200391 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200391 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200391 RealDigits[r]  (* A200391 *)
%Y A200391 Cf. A200338.
%K A200391 nonn,cons
%O A200391 1,2
%A A200391 _Clark Kimberling_, Nov 17 2011