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.

A200384 Decimal expansion of least x>0 satisfying 3*x^2+1=tan(x).

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%I A200384 #6 Feb 07 2025 16:44:07
%S A200384 1,4,3,1,8,4,8,5,0,2,0,9,5,6,7,6,3,8,7,7,0,5,6,4,7,3,7,0,3,7,4,7,3,6,
%T A200384 2,7,9,0,3,3,1,5,0,9,1,9,3,2,0,4,2,2,9,0,3,1,1,1,1,0,9,3,2,1,9,4,7,3,
%U A200384 9,8,3,7,0,8,2,7,1,7,5,2,8,4,1,0,7,3,9,5,1,9,7,0,3,3,8,2,0,2,6
%N A200384 Decimal expansion of least x>0 satisfying 3*x^2+1=tan(x).
%C A200384 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200384 x=1.431848502095676387705647370374736279033150...
%t A200384 a = 3; b = 0; c = 1;
%t A200384 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200384 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200384 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200384 RealDigits[r]   (* A200384*)
%Y A200384 Cf. A200338.
%K A200384 nonn,cons
%O A200384 1,2
%A A200384 _Clark Kimberling_, Nov 17 2011