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.

A200499 Decimal expansion of least x>0 satisfying 2*x^2-3*x+1=tan(x).

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%I A200499 #6 Feb 07 2025 16:44:07
%S A200499 2,8,9,9,2,7,3,5,6,0,6,5,5,8,9,8,9,8,2,2,0,1,4,1,6,0,2,5,9,1,1,2,0,7,
%T A200499 7,3,9,7,5,8,2,7,3,5,5,2,9,5,2,3,0,3,9,4,6,2,2,0,6,0,3,6,2,6,3,8,7,7,
%U A200499 3,8,5,7,7,0,0,3,8,6,5,9,6,2,3,4,9,5,5,7,6,1,2,9,2,3,0,5,6,3,7
%N A200499 Decimal expansion of least x>0 satisfying 2*x^2-3*x+1=tan(x).
%C A200499 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200499 x=0.28992735606558989822014160259112077397...
%t A200499 a = 2; b = -3; c = 1;
%t A200499 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200499 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200499 r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]
%t A200499 RealDigits[r]    (* A200499 *)
%Y A200499 Cf. A200338.
%K A200499 nonn,cons
%O A200499 0,1
%A A200499 _Clark Kimberling_, Nov 19 2011