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.

A200478 Decimal expansion of least x>0 satisfying x^2-x+2=tan(x).

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%I A200478 #6 Feb 07 2025 16:44:07
%S A200478 1,1,3,6,3,1,1,5,7,7,5,0,5,6,6,5,7,0,2,3,1,0,8,5,5,2,8,6,1,7,8,4,4,3,
%T A200478 8,6,4,5,8,5,6,0,5,6,8,7,8,4,5,0,2,7,6,6,3,7,3,7,3,2,8,5,9,0,7,0,6,0,
%U A200478 3,8,2,9,5,9,0,4,2,3,2,5,0,6,8,3,4,1,1,5,9,6,8,5,3,0,1,3,6,5,2
%N A200478 Decimal expansion of least x>0 satisfying x^2-x+2=tan(x).
%C A200478 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200478 x=1.136311577505665702310855286178443864585605...
%t A200478 a = 1; b = -1; c = 2;
%t A200478 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200478 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200478 r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]
%t A200478 RealDigits[r]   (* A200478 *)
%Y A200478 Cf. A200338.
%K A200478 nonn,cons
%O A200478 1,3
%A A200478 _Clark Kimberling_, Nov 18 2011