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 A199371 #8 Feb 07 2025 16:44:05 %S A199371 1,0,4,6,1,8,6,2,2,9,5,0,6,2,9,1,9,7,7,8,9,9,6,4,8,5,7,8,3,5,9,6,9,6, %T A199371 3,7,9,0,8,6,7,8,8,1,2,4,8,0,0,3,0,3,7,2,5,6,6,4,1,1,9,8,6,7,3,7,8,8, %U A199371 6,9,9,0,5,9,2,4,3,7,8,2,2,0,8,9,8,6,0,4,9,1,9,9,0,1,1,4,3,4,7 %N A199371 Decimal expansion of x>0 satisfying x^2+x*sin(x)=2. %C A199371 See A199370 for a guide to related sequences. The Mathematica program includes a graph. %H A199371 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199371 1.04618622950629197789964857835969637908678... %t A199371 a = 1; b = 1; c = 2; %t A199371 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c %t A199371 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}] %t A199371 r = x /. FindRoot[f[x] == g[x], {x, 1.03, 1.04}, WorkingPrecision -> 110] %t A199371 RealDigits[r] (* A199371 *) %Y A199371 Cf. A199370. %K A199371 nonn,cons %O A199371 1,3 %A A199371 _Clark Kimberling_, Nov 05 2011