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.

A200630 Decimal expansion of least x>0 satisfying 5*x^2+3=tan(x).

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%I A200630 #8 Feb 07 2025 16:44:07
%S A200630 1,5,0,0,7,9,4,0,8,1,5,3,5,0,7,9,3,8,1,8,8,2,2,5,2,4,7,6,5,5,7,5,7,1,
%T A200630 7,5,2,3,2,6,5,9,6,2,1,4,4,7,6,4,8,8,8,1,1,3,0,0,7,9,7,8,7,7,2,5,1,6,
%U A200630 0,0,7,1,1,3,2,4,4,3,1,8,8,3,5,0,5,1,0,3,5,1,6,3,9,0,7,1,7,6,8
%N A200630 Decimal expansion of least x>0 satisfying 5*x^2+3=tan(x).
%C A200630 See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%H A200630 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A200630 x=1.500794081535079381882252476557571752326596214...
%t A200630 a = 5; c = -3;
%t A200630 f[x_] := a*x^2 - c; g[x_] := Tan[x]
%t A200630 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A200630 r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.51}, WorkingPrecision -> 110]
%t A200630 RealDigits[r]   (* A200630 *)
%Y A200630 Cf. A200338.
%K A200630 nonn,cons
%O A200630 1,2
%A A200630 _Clark Kimberling_, Nov 20 2011