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.

A200480 Decimal expansion of least x>0 satisfying x^2-x+4=tan(x).

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%I A200480 #6 Feb 07 2025 16:44:07
%S A200480 1,3,5,0,8,9,8,4,1,5,9,2,7,0,6,2,6,0,3,1,1,7,1,8,7,7,8,6,3,9,8,9,5,4,
%T A200480 8,5,4,7,9,4,9,2,5,5,8,7,3,1,9,8,5,9,6,1,3,3,5,6,0,2,5,2,2,9,2,6,2,4,
%U A200480 2,7,6,1,9,6,9,7,8,9,2,7,0,0,2,0,1,5,7,2,3,0,9,1,9,9,8,1,1,7,5
%N A200480 Decimal expansion of least x>0 satisfying x^2-x+4=tan(x).
%C A200480 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200480 x=1.350898415927062603117187786398954854794925...
%t A200480 a = 1; b = -1; c = 4;
%t A200480 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200480 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200480 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A200480 RealDigits[r]   (* A200480 *)
%Y A200480 Cf. A200338.
%K A200480 nonn,cons
%O A200480 1,2
%A A200480 _Clark Kimberling_, Nov 18 2011