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 A199378 #8 Feb 07 2025 16:44:05 %S A199378 9,1,2,8,2,0,7,1,7,4,4,6,3,9,5,3,5,1,1,5,3,5,0,7,0,7,9,7,7,8,2,2,8,0, %T A199378 5,2,8,8,3,9,3,5,5,9,6,6,5,9,6,1,3,6,7,9,3,7,1,5,5,7,9,9,2,1,9,4,8,9, %U A199378 3,1,3,7,9,3,5,6,0,7,1,4,5,1,6,7,8,4,2,9,4,0,6,2,2,6,8,3,1,1,9 %N A199378 Decimal expansion of x>0 satisfying x^2+3*x*sin(x)=3. %C A199378 See A199370 for a guide to related sequences. The Mathematica program includes a graph. %H A199378 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199378 0.9128207174463953511535070797782280528... %t A199378 a = 1; b = 3; c = 3; %t A199378 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c %t A199378 Plot[{f[x], g[x]}, {x, -1, 2 Pi}, {AxesOrigin -> {0, 0}}] %t A199378 r = x /. FindRoot[f[x] == g[x], {x, .91, .92}, WorkingPrecision -> 110] %t A199378 RealDigits[r] (* A199378 *) %Y A199378 Cf. A199370. %K A199378 nonn,cons %O A199378 0,1 %A A199378 _Clark Kimberling_, Nov 05 2011