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.

A200609 Decimal expansion of least x>0 satisfying 4*x^2-3*x+4=tan(x).

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%I A200609 #6 Feb 07 2025 16:44:07
%S A200609 1,4,4,6,9,6,0,6,8,6,1,4,8,8,1,9,5,4,3,8,0,8,8,6,8,8,6,1,4,7,3,9,9,5,
%T A200609 0,1,3,9,0,8,3,7,6,2,4,8,3,2,6,9,2,8,9,1,0,4,3,7,4,6,0,0,4,9,6,1,8,9,
%U A200609 1,5,7,1,5,9,1,1,8,5,3,9,1,9,5,2,9,4,3,2,0,8,6,2,2,9,8,7,0,2,6
%N A200609 Decimal expansion of least x>0 satisfying 4*x^2-3*x+4=tan(x).
%C A200609 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200609 x=1.4469606861488195438088688614739950139083762...
%t A200609 a = 4; b = -3; c = 4;
%t A200609 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200609 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200609 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200609 RealDigits[r]   (* A200609 *)
%Y A200609 Cf. A200338.
%K A200609 nonn,cons
%O A200609 1,2
%A A200609 _Clark Kimberling_, Nov 19 2011