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.

A200342 Decimal expansion of least x>0 satisfying x^2+x+1=tan(x).

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%I A200342 #9 Feb 07 2025 16:44:06
%S A200342 1,3,3,1,8,9,1,4,1,7,5,5,2,2,8,8,2,0,3,7,6,7,3,2,9,1,4,9,7,5,8,0,8,9,
%T A200342 2,0,1,1,5,7,7,7,5,2,8,2,4,3,8,6,1,1,9,5,3,6,6,8,2,7,5,1,0,6,4,5,8,1,
%U A200342 6,5,4,4,4,1,3,1,1,8,6,5,3,2,6,7,1,7,7,0,0,5,1,4,2,1,5,6,2,3,8
%N A200342 Decimal expansion of least x>0 satisfying x^2+x+1=tan(x).
%C A200342 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200342 x=1.331891417552288203767329149758089201...
%t A200342 a = 1; b = 1; c = 1;
%t A200342 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200342 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200342 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A200342 RealDigits[r]   (* A200342 *)
%Y A200342 Cf. A200338.
%K A200342 nonn,cons
%O A200342 1,2
%A A200342 _Clark Kimberling_, Nov 16 2011