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.

A200387 Decimal expansion of least x>0 satisfying 3*x^2+x+1=tan(x).

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%I A200387 #6 Feb 07 2025 16:44:07
%S A200387 1,4,5,8,1,0,6,6,4,1,5,9,8,3,3,2,8,4,5,9,7,3,6,8,0,6,2,6,6,1,4,5,1,9,
%T A200387 4,7,2,5,8,4,0,6,7,6,4,9,5,0,5,2,9,3,7,8,5,0,8,4,3,9,5,3,5,2,0,7,2,9,
%U A200387 8,1,4,4,4,4,2,6,8,2,2,0,5,8,1,2,3,3,9,5,1,1,5,4,5,9,1,7,5,4,0
%N A200387 Decimal expansion of least x>0 satisfying 3*x^2+x+1=tan(x).
%C A200387 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200387 x=1.458106641598332845973680626614519472584067649...
%t A200387 a = 3; b = 1; c = 1;
%t A200387 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200387 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200387 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200387 RealDigits[r]   (* A200387 *)
%Y A200387 Cf. A200338.
%K A200387 nonn,cons
%O A200387 1,2
%A A200387 _Clark Kimberling_, Nov 17 2011