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.

A200496 Decimal expansion of least x>0 satisfying 2*x^2-x+4=tan(x).

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%I A200496 #6 Feb 07 2025 16:44:07
%S A200496 1,4,2,0,7,9,4,7,4,4,8,7,9,0,2,5,8,4,9,1,8,6,2,4,8,2,4,1,8,2,3,6,9,9,
%T A200496 1,7,2,2,9,7,1,3,2,8,3,7,8,3,4,3,4,7,2,2,4,7,5,4,9,3,0,9,0,2,8,9,6,7,
%U A200496 5,3,0,5,9,6,9,4,4,2,2,7,3,3,2,9,6,5,8,6,6,4,2,0,3,3,6,3,6,6,5
%N A200496 Decimal expansion of least x>0 satisfying 2*x^2-x+4=tan(x).
%C A200496 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200496 x=1.42079474487902584918624824182369917229713...
%t A200496 a = 2; b = -1; c = 4;
%t A200496 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200496 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200496 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200496 RealDigits[r]     (* A200496 *)
%Y A200496 Cf. A200338.
%K A200496 nonn,cons
%O A200496 1,2
%A A200496 _Clark Kimberling_, Nov 19 2011