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.

A200343 Decimal expansion of least x>0 satisfying x^2+x+2=tan(x).

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%I A200343 #7 Feb 07 2025 16:44:06
%S A200343 1,3,8,4,3,3,3,9,8,6,0,7,9,0,1,7,1,0,1,1,4,3,1,2,1,9,4,7,7,9,4,2,7,2,
%T A200343 4,9,7,0,0,0,4,1,2,2,3,9,1,7,0,1,7,9,7,4,5,1,4,3,8,0,3,8,9,1,9,0,1,0,
%U A200343 5,4,2,4,1,7,2,4,8,2,0,6,9,2,7,9,4,1,0,7,5,9,3,6,8,0,3,5,9,6,6
%N A200343 Decimal expansion of least x>0 satisfying x^2+x+2=tan(x).
%C A200343 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200343 x=1.384333986079017101143121947794272497000...
%t A200343 a = 1; b = 1; c = 2;
%t A200343 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200343 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200343 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A200343 RealDigits[r]   (* A200343 *)
%Y A200343 Cf. A200338.
%K A200343 nonn,cons
%O A200343 1,2
%A A200343 _Clark Kimberling_, Nov 16 2011