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.

A200593 Decimal expansion of least x>0 satisfying 3*x^2-3*x+1=tan(x).

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%I A200593 #6 Feb 07 2025 16:44:07
%S A200593 3,2,7,2,8,3,7,3,0,1,5,9,5,3,0,8,4,1,1,5,6,0,0,1,1,4,3,3,8,4,3,2,4,7,
%T A200593 7,4,4,0,7,6,1,9,1,3,4,2,5,1,4,3,2,3,6,6,4,6,6,6,9,2,4,4,1,4,4,1,8,9,
%U A200593 4,1,5,5,8,3,2,9,6,4,6,7,4,6,8,5,0,9,3,4,1,7,7,6,4,6,3,5,0,4,3
%N A200593 Decimal expansion of least x>0 satisfying 3*x^2-3*x+1=tan(x).
%C A200593 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200593 x=0.3272837301595308411560011433843247744076191342...
%t A200593 a = 3; b = -3; c = 1;
%t A200593 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200593 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200593 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A200593 RealDigits[r]    (* A200593 *)
%Y A200593 Cf. A200338.
%K A200593 nonn,cons
%O A200593 0,1
%A A200593 _Clark Kimberling_, Nov 19 2011