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 A198507 #8 Apr 23 2025 12:41:53 %S A198507 6,7,5,6,3,6,8,7,1,4,5,7,3,4,1,3,7,5,7,8,9,6,6,0,2,1,4,1,1,9,9,9,6,1, %T A198507 1,7,2,9,3,5,9,9,1,6,9,5,3,8,1,6,5,8,9,0,3,9,9,9,5,4,4,6,6,0,4,1,9,9, %U A198507 7,8,3,5,3,8,6,5,0,5,0,7,4,6,7,2,6,3,8,2,7,1,8,9,6,6,7,5,3,6,9 %N A198507 Decimal expansion of x>0 having 4*x^2+x=4*sin(x). %C A198507 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198507 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198507 0.675636871457341375789660214119996117293599... %t A198507 a = 4; b = 1; c = 4; %t A198507 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198507 Plot[{f[x], g[x]}, {x, -.2, 1}] %t A198507 r = x /. FindRoot[f[x] == g[x], {x, .67, .68}, WorkingPrecision -> 110] %t A198507 RealDigits[r] (* A198507 *) %Y A198507 Cf. A198414. %K A198507 nonn,cons %O A198507 0,1 %A A198507 _Clark Kimberling_, Oct 25 2011