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.

A200495 Decimal expansion of least x>0 satisfying 2*x^2-x+3=tan(x).

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%I A200495 #6 Feb 07 2025 16:44:07
%S A200495 1,3,9,0,1,3,3,0,5,2,8,3,3,6,3,1,7,1,4,7,9,1,9,1,2,7,1,2,3,7,5,5,7,9,
%T A200495 9,3,8,9,3,6,5,5,0,4,9,8,4,7,7,9,0,3,9,8,9,9,1,6,0,7,4,5,1,1,4,3,6,2,
%U A200495 7,8,7,9,3,2,9,2,9,1,7,8,9,7,8,9,6,2,8,0,0,1,8,8,1,0,5,9,2,1,2
%N A200495 Decimal expansion of least x>0 satisfying 2*x^2-x+3=tan(x).
%C A200495 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200495 x=1.390133052833631714791912712375579938...
%t A200495 a = 2; b = -1; c = 3;
%t A200495 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200495 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200495 r = x /. FindRoot[f[x] == g[x], {x, 1.39, 1.4}, WorkingPrecision -> 110]
%t A200495 RealDigits[r]     (* A200495 *)
%Y A200495 Cf. A200338.
%K A200495 nonn,cons
%O A200495 1,2
%A A200495 _Clark Kimberling_, Nov 19 2011