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.
%I A200410 #7 Feb 07 2025 16:44:07 %S A200410 1,4,6,7,1,0,7,0,6,7,9,4,7,8,9,4,0,0,2,3,4,3,2,4,8,3,6,3,2,3,9,3,6,5, %T A200410 8,0,8,2,6,6,0,9,4,3,7,9,9,7,6,0,2,3,2,3,4,2,5,2,4,8,0,9,9,2,0,7,4,3, %U A200410 8,3,7,5,3,0,8,5,7,7,5,7,1,5,9,5,6,5,4,2,7,7,4,9,6,7,6,5,7,5,3 %N A200410 Decimal expansion of least x>0 satisfying 4*x^2+1=tan(x). %C A200410 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200410 x=1.4671070679478940023432483632393658082660943799... %t A200410 a = 4; b = 0; c = 1; %t A200410 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200410 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200410 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200410 RealDigits[r] (* A200410 *) %Y A200410 Cf. A200338. %K A200410 nonn,cons %O A200410 1,2 %A A200410 _Clark Kimberling_, Nov 17 2011