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 A198418 #8 Feb 07 2025 16:44:05 %S A198418 1,2,6,3,3,2,1,4,4,7,9,4,9,3,6,9,1,0,6,6,7,0,4,7,5,9,3,4,3,3,0,0,0,6, %T A198418 4,8,1,5,8,0,7,3,0,2,3,6,0,5,5,4,6,4,5,5,3,1,5,7,0,4,4,8,2,1,9,1,8,3, %U A198418 4,2,2,1,6,9,6,0,9,0,9,8,2,0,9,4,0,7,0,9,4,6,5,9,9,5,1,8,6,3,4 %N A198418 Decimal expansion of x>0 having x^2+x=3*sin(x). %C A198418 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198418 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198418 1.26332144794936910667047593433000... %t A198418 a = 1; b = 1; c = 3; %t A198418 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198418 Plot[{f[x], g[x]}, {x, -1, 2}] %t A198418 r = x /. FindRoot[f[x] == g[x], {x, 1.26, 1.27}, WorkingPrecision -> 110] %t A198418 RealDigits[r] (* A198418 *) %o A198418 (PARI) solve(x=1,2, x^2+x-3*sin(x)) \\ _Charles R Greathouse IV_, Jan 28 2025 %Y A198418 Cf. A198414. %K A198418 nonn,cons %O A198418 1,2 %A A198418 _Clark Kimberling_, Oct 24 2011