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.

A200500 Decimal expansion of least x>0 satisfying 2*x^2-3*x+2=tan(x).

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%I A200500 #6 Feb 07 2025 16:44:07
%S A200500 7,1,9,8,5,8,2,0,2,3,9,4,7,0,8,5,8,6,2,5,0,2,1,5,6,0,9,9,6,3,7,2,0,7,
%T A200500 2,5,6,1,7,2,3,0,4,8,5,6,2,9,8,9,7,2,5,5,2,5,4,1,5,6,5,6,7,8,9,7,5,4,
%U A200500 1,0,6,3,8,5,9,0,3,9,5,0,4,9,0,5,0,2,0,7,6,1,5,0,0,0,5,4,7,3,3
%N A200500 Decimal expansion of least x>0 satisfying 2*x^2-3*x+2=tan(x).
%C A200500 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200500 x=0.71985820239470858625021560996372072561...
%t A200500 a = 2; b = -3; c = 2;
%t A200500 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200500 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200500 r = x /. FindRoot[f[x] == g[x], {x, .7, .8}, WorkingPrecision -> 110]
%t A200500 RealDigits[r]    (* A200500 *)
%Y A200500 Cf. A200338.
%K A200500 nonn,cons
%O A200500 0,1
%A A200500 _Clark Kimberling_, Nov 19 2011