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 A198556 #8 Apr 23 2025 12:41:27 %S A198556 9,0,2,2,9,5,9,7,5,6,8,7,3,7,0,9,8,1,6,7,1,5,2,6,9,9,7,4,7,9,8,5,2,4, %T A198556 4,2,1,1,1,9,1,3,6,2,0,2,8,2,1,2,8,3,4,6,4,3,8,0,5,1,4,0,2,0,6,1,1,6, %U A198556 1,9,2,3,1,9,8,5,8,6,3,8,9,0,2,3,1,1,9,6,0,2,0,9,4,6,0,8,7,3,1 %N A198556 Decimal expansion of x>0 having 4*x^2-x=3*sin(x). %C A198556 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198556 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198556 0.90229597568737098167152699747985244211191... %t A198556 a = 4; b = -1; c = 3; %t A198556 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198556 Plot[{f[x], g[x]}, {x, -.1, 1}] %t A198556 r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110] %t A198556 RealDigits[r] (* A198556 *) %Y A198556 Cf. A198414. %K A198556 nonn,cons %O A198556 0,1 %A A198556 _Clark Kimberling_, Oct 26 2011