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.

A200340 Decimal expansion of least x>0 satisfying x^2+3=tan(x).

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%I A200340 #9 Feb 07 2025 16:44:06
%S A200340 1,3,6,8,3,7,1,2,7,5,0,4,7,8,9,7,7,3,4,0,8,0,7,9,0,8,8,6,6,4,0,4,2,0,
%T A200340 6,5,2,3,7,3,9,0,9,1,5,1,6,4,9,6,3,9,1,8,6,9,0,7,9,4,4,7,3,8,5,6,4,2,
%U A200340 5,2,7,0,2,0,8,1,5,6,9,4,2,9,9,6,3,1,4,1,7,3,1,3,1,3,1,1,5,6,2
%N A200340 Decimal expansion of least x>0 satisfying x^2+3=tan(x).
%C A200340 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200340 x=1.36837127504789773408079088664042065...
%t A200340 a = 1; b = 0; c = 3;
%t A200340 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200340 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200340 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A200340 RealDigits[r]  (* A200340 *)
%o A200340 (PARI) solve(x=1,1.4,x^2+3-tan(x)) \\ _Charles R Greathouse IV_, Mar 23 2022
%Y A200340 Cf. A200338.
%K A200340 nonn,cons
%O A200340 1,2
%A A200340 _Clark Kimberling_, Nov 16 2011