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 A200345 #7 Feb 07 2025 16:44:06 %S A200345 1,4,3,8,3,7,1,9,3,5,3,2,3,1,6,6,3,4,3,0,2,4,7,1,1,2,3,3,3,8,7,5,7,8, %T A200345 9,2,1,8,4,8,3,9,0,1,5,3,7,3,5,5,7,2,3,9,2,2,1,4,0,1,8,4,2,5,0,7,7,9, %U A200345 8,5,2,3,8,9,4,3,5,0,4,9,3,8,8,6,0,5,4,7,8,2,9,1,3,2,2,4,0,3,9 %N A200345 Decimal expansion of least x>0 satisfying x^2+x+4=tan(x). %C A200345 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200345 x=1.438371935323166343024711233387578921848390... %t A200345 a = 1; b = 1; c = 4; %t A200345 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200345 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200345 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110] %t A200345 RealDigits[r] (* A200345 *) %Y A200345 Cf. A200338. %K A200345 nonn,cons %O A200345 1,2 %A A200345 _Clark Kimberling_, Nov 16 2011