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.

A200365 Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x).

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%I A200365 #10 Feb 07 2025 16:44:06
%S A200365 1,4,6,3,3,5,1,5,2,6,2,3,9,0,5,7,3,0,0,7,6,6,6,7,3,2,2,4,3,4,8,1,5,4,
%T A200365 1,3,0,6,7,5,6,6,7,3,6,6,7,6,4,1,9,4,3,8,9,7,3,4,3,8,2,4,9,0,0,5,8,3,
%U A200365 3,5,2,0,6,6,6,8,5,2,2,6,9,8,9,0,5,7,0,4,9,3,6,0,8,4,2,4,5,3,8
%N A200365 Decimal expansion of least x > 0 satisfying 2*x^2 + 2*sin(x) + 3 = tan(x).
%C A200365 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200365 x=1.463351526239057300766673224348154130675667...
%t A200365 a = 2; b = 2; c = 3;
%t A200365 f[x_] := a*x^2 + b*Sin[x] + c; g[x_] := Tan[x]
%t A200365 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200365 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200365 RealDigits[r]   (* A200365 *)
%Y A200365 Cf. A200338.
%K A200365 nonn,cons
%O A200365 1,2
%A A200365 _Clark Kimberling_, Nov 17 2011
%E A200365 Definition corrected by _Georg Fischer_, Aug 05 2021