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 A200358 #7 Feb 07 2025 16:44:06 %S A200358 1,3,6,1,4,6,7,2,4,9,5,0,1,4,4,4,1,9,9,9,3,0,0,0,6,1,9,6,1,1,0,2,7,3, %T A200358 6,2,6,7,7,8,0,5,2,7,5,9,7,8,6,3,1,1,0,8,0,5,8,1,0,9,7,6,1,3,2,7,2,1, %U A200358 7,8,4,3,2,8,7,4,1,6,7,8,4,8,7,2,9,0,4,9,9,4,1,3,5,5,7,9,2,1,2 %N A200358 Decimal expansion of least x>0 satisfying 2*x^2+1=tan(x). %C A200358 See A200338 for a guide to related sequences. The Mathematica program includes a graph. %e A200358 x=1.36146724950144419993000619611027362677805... %t A200358 a = 2; b = 0; c = 1; %t A200358 f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x] %t A200358 Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}] %t A200358 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110] %t A200358 RealDigits[r] (* A200358 *) %Y A200358 Cf. A200338. %K A200358 nonn,cons %O A200358 1,2 %A A200358 _Clark Kimberling_, Nov 17 2011