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.

A200597 Decimal expansion of least x>0 satisfying 3*x^2-4*x+2=tan(x).

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%I A200597 #6 Feb 07 2025 16:44:07
%S A200597 5,9,7,7,9,0,7,0,6,8,8,1,9,3,7,5,2,1,8,3,7,2,5,5,0,8,8,4,1,7,4,4,0,0,
%T A200597 4,5,7,8,5,1,0,6,9,6,8,2,1,2,7,9,8,2,1,5,5,6,9,2,4,9,3,1,6,0,1,4,6,9,
%U A200597 0,7,3,0,7,8,6,8,9,8,6,4,4,4,8,2,8,1,5,5,5,2,4,1,2,4,7,4,1,5,7
%N A200597 Decimal expansion of least x>0 satisfying 3*x^2-4*x+2=tan(x).
%C A200597 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200597 x=0.597790706881937521837255088417440045785106968...
%t A200597 a = 3; b = -4; c = 2;
%t A200597 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200597 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200597 r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]
%t A200597 RealDigits[r]   (* A200597 *)
%Y A200597 Cf. A200338.
%K A200597 nonn,cons
%O A200597 0,1
%A A200597 _Clark Kimberling_, Nov 19 2011