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 A199461 #9 Feb 08 2025 09:58:43 %S A199461 1,8,1,1,1,1,0,8,1,4,2,4,8,3,1,9,7,6,2,7,9,6,5,4,9,7,0,9,7,5,6,7,2,9, %T A199461 6,1,7,6,9,1,0,3,1,2,5,8,1,3,5,3,4,3,1,2,9,4,9,2,7,3,5,6,4,4,6,3,4,5, %U A199461 4,9,8,0,6,3,7,3,5,5,8,2,7,5,1,0,0,2,7,3,9,7,7,6,1,4,2,6,9,6,5 %N A199461 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=cos(x). %C A199461 See A199429 for a guide to related sequences. The Mathematica program includes a graph. %H A199461 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A199461 1.811110814248319762796549709756729617691031258... %t A199461 a = 1; b = -2; c = 1; %t A199461 f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x] %t A199461 Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}] %t A199461 r = x /. FindRoot[f[x] == g[x], {x, 1.81, 1.82}, WorkingPrecision -> 110] %t A199461 RealDigits[r] (* A199461 *) %Y A199461 Cf. A199429. %K A199461 nonn,cons %O A199461 1,2 %A A199461 _Clark Kimberling_, Nov 07 2011