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.

A200388 Decimal expansion of least x>0 satisfying 3*x^2+x+2=tan(x).

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%I A200388 #9 Feb 16 2025 21:24:00
%S A200388 1,4,7,0,7,2,8,6,3,0,2,9,4,4,6,0,1,5,8,2,9,8,9,3,6,8,6,5,6,5,6,5,0,8,
%T A200388 6,5,6,3,8,0,9,0,6,8,2,1,6,1,9,1,1,7,3,9,7,6,4,9,7,3,2,2,2,0,6,3,5,6,
%U A200388 6,0,6,0,1,6,1,4,1,7,7,2,7,1,9,1,2,2,0,7,9,3,8,5,4,7,6,8,9,0,2
%N A200388 Decimal expansion of least x>0 satisfying 3*x^2+x+2=tan(x).
%C A200388 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200388 x=1.470728630294460158298936865656508656380906821...
%t A200388 a = 3; b = 1; c = 2;
%t A200388 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200388 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200388 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200388 RealDigits[r]  (* A200388 *)
%Y A200388 Cf. A200338.
%K A200388 nonn,cons
%O A200388 1,2
%A A200388 _Clark Kimberling_, Nov 17 2011