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 A199392 #10 Feb 07 2025 19:55:51 %S A199392 7,9,0,7,3,4,2,1,0,9,6,7,2,3,6,9,7,8,3,5,7,1,7,1,8,5,1,4,6,1,2,8,7,9, %T A199392 3,6,3,0,0,4,6,6,3,7,0,0,7,4,8,1,3,2,5,9,5,0,2,2,1,8,1,4,6,0,8,0,7,7, %U A199392 1,0,5,2,8,4,8,5,2,2,5,1,2,9,8,5,1,0,2,1,9,3,7,0,2,2,9,0,5,2,9,6,7,7 %N A199392 Decimal expansion of x>0 satisfying 3*x^2+2*x*sin(x)=3. %C A199392 See A199370 for a guide to related sequences. The Mathematica program includes a graph. %H A199392 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199392 0.7907342109672369783571718514612879363004663700... %t A199392 a = 3; b = 2; c = 3; %t A199392 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c %t A199392 Plot[{f[x], g[x]}, {x, -1, Pi}, {AxesOrigin -> {0, 0}}] %t A199392 r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110] %t A199392 RealDigits[r] (* A199392 *) %Y A199392 Cf. A199370. %K A199392 nonn,cons %O A199392 0,1 %A A199392 _Clark Kimberling_, Nov 06 2011