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 A199740 #13 Feb 08 2025 22:25:30 %S A199740 1,2,7,3,0,8,0,7,1,4,9,0,1,0,1,5,3,5,9,2,5,0,2,7,2,7,8,3,1,5,1,9,3,1, %T A199740 8,9,0,6,6,8,3,2,5,7,2,2,2,0,8,4,0,8,0,9,8,9,7,0,7,5,2,5,0,5,4,1,1,7, %U A199740 3,9,5,0,4,6,9,5,9,7,1,1,5,0,7,2,8,6,7,7,2,1,6,8,7,1,1,5,5,0,4 %N A199740 Decimal expansion of x>0 satisfying 2*x^2-x*cos(x)=3*sin(x). %C A199740 See A199597 for a guide to related sequences. The Mathematica program includes a graph. %H A199740 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199740 1.27308071490101535925027278315193189066832... %t A199740 a = 2; b = -1; c = 3; %t A199740 f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x] %t A199740 Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}] %t A199740 r = x /. FindRoot[f[x] == g[x], {x, 1.27, 1.28}, WorkingPrecision -> 110] %t A199740 RealDigits[r] (* A199740 *) %Y A199740 Cf. A199597. %K A199740 nonn,cons %O A199740 1,2 %A A199740 _Clark Kimberling_, Nov 10 2011 %E A199740 Name corrected by _Sean A. Irvine_, Jan 12 2025