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.

A200364 Decimal expansion of least x>0 satisfying 2*x^2+2*x+1=tan(x).

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%I A200364 #6 Feb 07 2025 16:44:06
%S A200364 1,4,4,7,7,7,5,5,3,8,4,2,8,4,9,3,9,8,1,4,0,8,3,9,9,1,7,2,4,7,4,7,7,9,
%T A200364 8,3,2,8,0,6,1,6,2,9,0,9,0,3,8,3,7,3,6,7,1,7,4,0,7,6,9,3,6,8,0,8,3,4,
%U A200364 4,3,4,3,4,5,3,2,5,0,1,7,0,3,6,0,6,6,4,0,9,6,9,6,7,1,1,7,9,6,7
%N A200364 Decimal expansion of least x>0 satisfying 2*x^2+2*x+1=tan(x).
%C A200364 See A200338 for a guide to related sequences. The Mathematica program includes a graph.
%e A200364 x=1.447775538428493981408399172474779832806162909038...
%t A200364 a = 2; b = 2; c = 1;
%t A200364 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
%t A200364 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200364 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A200364 RealDigits[r]   (* A200364 *)
%Y A200364 Cf. A200338.
%K A200364 nonn,cons
%O A200364 1,2
%A A200364 _Clark Kimberling_, Nov 17 2011