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 A199388 #8 Feb 07 2025 19:56:04 %S A199388 7,1,4,5,5,4,7,9,9,6,0,8,4,7,7,0,3,9,1,2,2,3,9,8,5,6,4,7,7,0,8,2,5,9, %T A199388 8,4,8,5,7,5,9,8,7,4,4,8,9,5,1,3,0,5,0,9,4,8,9,7,4,0,9,6,9,5,1,4,8,1, %U A199388 0,8,3,3,4,8,3,1,3,5,9,7,9,9,8,9,5,1,3,1,2,7,8,0,0,9,6,2,5,0,3 %N A199388 Decimal expansion of x>0 satisfying 3*x^2+x*sin(x)=2. %C A199388 See A199370 for a guide to related sequences. The Mathematica program includes a graph. %H A199388 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199388 0.71455479960847703912239856477082598485759874... %t A199388 a = 3; b = 1; c = 2; %t A199388 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c %t A199388 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}] %t A199388 r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110] %t A199388 RealDigits[r] (* A199388 *) %Y A199388 Cf. A199370. %K A199388 nonn,cons %O A199388 0,1 %A A199388 _Clark Kimberling_, Nov 06 2011