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.

A200479 Decimal expansion of least x>0 satisfying x^2-x+3=tan(x).

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%I A200479 #6 Feb 07 2025 16:44:07
%S A200479 1,2,8,1,5,9,8,1,8,8,3,8,9,5,4,6,5,5,1,8,1,6,8,0,9,9,7,6,0,1,5,6,1,0,
%T A200479 9,5,7,3,8,6,8,5,9,0,5,6,4,0,3,2,7,6,0,4,2,4,2,5,3,3,9,4,9,7,0,7,6,8,
%U A200479 5,8,0,5,0,6,4,5,2,5,4,8,1,9,3,8,7,1,0,2,1,4,2,9,9,3,0,9,4,7,1
%N A200479 Decimal expansion of least x>0 satisfying x^2-x+3=tan(x).
%C A200479 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200479 x=1.2815981883895465518168099760156109573868...
%t A200479 a = 1; b = -1; c = 3;
%t A200479 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200479 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200479 r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t A200479 RealDigits[r]    (* A200479 *)
%Y A200479 Cf. A200338.
%K A200479 nonn,cons
%O A200479 1,2
%A A200479 _Clark Kimberling_, Nov 18 2011