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.

A200397 Decimal expansion of least x>0 satisfying 3*x^2+3*x+4=tan(x).

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%I A200397 #6 Feb 07 2025 16:44:07
%S A200397 1,5,0,5,6,0,3,3,3,1,8,3,8,0,2,7,2,2,5,3,2,2,1,6,6,4,4,4,5,7,7,7,4,5,
%T A200397 8,4,6,1,2,3,8,9,4,5,8,3,9,6,1,2,7,5,5,5,5,0,8,8,8,9,1,9,9,0,1,7,9,2,
%U A200397 7,8,1,0,2,0,9,1,0,9,4,8,7,7,0,9,3,7,3,7,4,0,4,6,6,1,8,8,5,6,2
%N A200397 Decimal expansion of least x>0 satisfying 3*x^2+3*x+4=tan(x).
%C A200397 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200397 x=1.505603331838027225322166444577745846123894583...
%t A200397 a = 3; b = 3; c = 4;
%t A200397 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200397 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200397 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
%t A200397 RealDigits[r]   (* A200397 *)
%Y A200397 Cf. A200338.
%K A200397 nonn,cons
%O A200397 1,2
%A A200397 _Clark Kimberling_, Nov 17 2011