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 A198618 #8 Apr 23 2025 12:50:34 %S A198618 3,1,1,8,2,9,7,4,9,6,8,4,4,7,6,4,3,6,7,5,8,9,8,9,9,3,4,7,9,0,2,4,5,1, %T A198618 1,6,8,2,6,3,7,0,1,2,7,1,2,8,3,1,6,6,0,8,5,5,2,2,5,7,6,5,9,7,4,4,5,7, %U A198618 5,8,4,2,5,8,5,8,0,3,0,8,2,9,6,7,7,2,1,6,9,9,0,3,1,6,4,7,2,4,7 %N A198618 Decimal expansion of x>0 satisfying 3*x^2+3x=4*sin(x). %C A198618 See A198414 for a guide to related sequences. The Mathematica program includes a graph. %H A198618 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>. %e A198618 0.311829749684476436758989934790245116826370127... %t A198618 a = 3; b = 3; c = 4; %t A198618 f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] %t A198618 Plot[{f[x], g[x]}, {x, -.1, .4}] %t A198618 r = x /. FindRoot[f[x] == g[x], {x, .31, .32}, WorkingPrecision -> 110] %t A198618 RealDigits[r](* A198618 *) %Y A198618 Cf. A198414. %K A198618 nonn,cons %O A198618 0,1 %A A198618 _Clark Kimberling_, Oct 28 2011