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.

A200488 Decimal expansion of least x>0 satisfying x^2-3x+4=tan(x).

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%I A200488 #6 Feb 07 2025 16:44:07
%S A200488 1,0,9,0,1,8,3,4,1,5,1,3,8,3,2,5,5,1,8,7,4,7,3,8,3,9,8,8,3,2,7,2,2,1,
%T A200488 9,1,0,5,6,0,8,1,8,3,0,8,0,4,3,8,5,5,6,9,7,0,7,2,9,2,4,9,3,6,2,8,4,9,
%U A200488 2,7,8,4,5,1,0,3,9,0,4,5,9,3,1,0,2,0,3,7,2,7,4,1,8,9,2,2,7,5,8
%N A200488 Decimal expansion of least x>0 satisfying x^2-3x+4=tan(x).
%C A200488 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200488 x=1.0901834151383255187473839883272219105608183...
%t A200488 a = 1; b = -3; c = 4;
%t A200488 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200488 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200488 r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
%t A200488 RealDigits[r]    (* A200488 *)
%Y A200488 Cf. A200338.
%K A200488 nonn,cons
%O A200488 1,3
%A A200488 _Clark Kimberling_, Nov 18 2011