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.

A200399 Decimal expansion of least x>0 satisfying 3*x^2+4*x+2=tan(x).

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%I A200399 #6 Feb 07 2025 16:44:07
%S A200399 1,5,0,3,2,9,9,1,1,6,2,7,0,4,4,2,7,4,8,1,2,6,7,0,9,5,7,4,6,0,0,6,9,4,
%T A200399 2,0,8,9,5,4,4,8,8,7,4,2,0,6,4,7,0,3,8,1,7,0,9,4,4,4,3,3,4,4,3,0,9,4,
%U A200399 8,5,1,2,3,6,1,5,3,4,8,9,0,1,8,2,2,3,4,3,5,2,0,0,4,8,0,6,4,8,7
%N A200399 Decimal expansion of least x>0 satisfying 3*x^2+4*x+2=tan(x).
%C A200399 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200399 x=1.5032991162704427481267095746006942089544887420...
%t A200399 a = 3; b = 4; c = 2;
%t A200399 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200399 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200399 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
%t A200399 RealDigits[r]  (* A200399 *)
%Y A200399 Cf. A200338.
%K A200399 nonn,cons
%O A200399 1,2
%A A200399 _Clark Kimberling_, Nov 17 2011