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.

A200362 Decimal expansion of least x>0 satisfying 2*x^2+x+3=tan(x).

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%I A200362 #6 Feb 07 2025 16:44:06
%S A200362 1,4,5,6,3,3,1,7,0,8,0,7,6,4,7,2,5,7,5,3,6,8,8,1,7,2,2,2,8,7,3,1,2,7,
%T A200362 2,6,8,5,3,0,9,6,3,8,8,0,7,4,3,2,6,4,9,5,7,4,5,2,9,8,4,1,6,2,9,3,6,6,
%U A200362 9,3,2,1,4,6,6,9,9,1,9,4,5,4,9,2,6,4,7,7,7,9,0,1,5,0,6,6,4,4,4
%N A200362 Decimal expansion of least x>0 satisfying 2*x^2+x+3=tan(x).
%C A200362 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200362 x=1.456331708076472575368817222873127268530963880...
%t A200362 a = 2; b = 1; c = 3;
%t A200362 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200362 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200362 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200362 RealDigits[r]   (* A200362 *)
%Y A200362 Cf. A200338.
%K A200362 nonn,cons
%O A200362 1,2
%A A200362 _Clark Kimberling_, Nov 17 2011