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.

A200606 Decimal expansion of least x>0 satisfying 4*x^2-3*x+1=tan(x).

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%I A200606 #6 Feb 07 2025 16:44:07
%S A200606 1,3,3,1,3,2,4,5,4,2,2,0,8,0,3,3,2,1,6,1,3,8,7,6,9,4,4,6,9,0,3,9,3,9,
%T A200606 8,5,8,4,8,3,4,4,7,1,1,0,3,3,5,1,2,5,4,9,4,6,5,8,2,1,6,0,7,0,1,6,0,6,
%U A200606 4,1,8,0,6,6,1,7,0,6,4,6,6,8,4,3,7,5,3,5,2,0,8,5,4,9,8,2,3,9,7
%N A200606 Decimal expansion of least x>0 satisfying 4*x^2-3*x+1=tan(x).
%C A200606 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200606 x=1.331324542208033216138769446903939858483447110...
%t A200606 a = 4; b = -3; c = 1;
%t A200606 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200606 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200606 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A200606 RealDigits[r]   (* A200606 *)
%Y A200606 Cf. A200338.
%K A200606 nonn,cons
%O A200606 1,2
%A A200606 _Clark Kimberling_, Nov 19 2011