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.

A200416 Decimal expansion of least x>0 satisfying 4*x^2+2*x+1=tan(x).

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%I A200416 #6 Feb 07 2025 16:44:07
%S A200416 1,4,9,3,4,8,5,1,6,4,0,7,9,5,5,2,7,7,4,1,5,5,5,7,8,7,6,8,9,1,5,0,5,7,
%T A200416 0,6,5,3,6,0,1,6,4,3,2,6,6,1,4,3,9,6,3,9,3,8,2,4,8,3,1,2,5,5,6,6,5,2,
%U A200416 8,1,0,5,4,0,1,5,2,9,6,8,6,7,5,4,2,7,2,6,7,8,3,6,1,6,1,2,5,6,8
%N A200416 Decimal expansion of least x>0 satisfying 4*x^2+2*x+1=tan(x).
%C A200416 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200416 x=1.493485164079552774155578768915057065360164326614396...
%t A200416 a = 4; b = 2; c = 1;
%t A200416 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200416 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200416 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200416 RealDigits[r]  (* A200416 *)
%Y A200416 Cf. A200338.
%K A200416 nonn,cons
%O A200416 1,2
%A A200416 _Clark Kimberling_, Nov 18 2011