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.

A200369 Decimal expansion of least x>0 satisfying 2*x^2+3*x+4=tan(x).

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%I A200369 #6 Feb 07 2025 16:44:06
%S A200369 1,4,9,3,6,8,9,3,5,7,9,7,4,3,7,2,9,4,2,9,7,8,1,6,9,6,9,5,4,7,3,7,3,3,
%T A200369 0,2,8,3,3,2,1,0,1,0,6,2,8,0,2,3,8,1,5,0,7,2,6,6,9,8,5,6,1,1,3,6,3,0,
%U A200369 5,5,7,0,0,7,5,9,0,0,0,0,3,2,7,3,3,4,5,8,7,5,1,7,4,5,6,4,6,1,0
%N A200369 Decimal expansion of least x>0 satisfying 2*x^2+3*x+4=tan(x).
%C A200369 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200369 x=1.49368935797437294297816969547373302833210106280...
%t A200369 a = 2; b = 3; c = 4;
%t A200369 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200369 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200369 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200369 RealDigits[r]   (* A200369 *)
%Y A200369 Cf. A200338.
%K A200369 nonn,cons
%O A200369 1,2
%A A200369 _Clark Kimberling_, Nov 17 2011