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 A198554 #8 Apr 23 2025 12:41:21 %S A198554 4,9,0,1,1,0,8,3,0,7,3,4,8,6,7,4,3,7,3,5,5,1,4,0,7,3,7,4,1,1,1,6,7,2, %T A198554 0,1,4,3,4,8,1,0,1,9,5,1,7,8,7,8,7,7,4,6,4,1,5,1,7,4,1,1,2,9,7,3,7,4, %U A198554 0,5,7,6,8,3,7,3,0,3,7,5,8,9,9,4,5,6,8,7,1,1,0,2,7,2,0,1,0,4,3 %N A198554 Decimal expansion of x>0 having 4*x^2-x=sin(x). %C A198554 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198554 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198554 0.490110830734867437355140737411167201434810... %t A198554 a = 4; b = -1; c = 1; %t A198554 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198554 Plot[{f[x], g[x]}, {x, -.1, 1}] %t A198554 r = x /. FindRoot[f[x] == g[x], {x, .49, .5}, WorkingPrecision -> 110] %t A198554 RealDigits[r] (* A198554 *) %Y A198554 Cf. A198414. %K A198554 nonn,cons %O A198554 0,1 %A A198554 _Clark Kimberling_, Oct 26 2011