Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having one real root and two conjugate complex roots.

A155193

Number of cubic equations ax^3 + bx^2 + cx + d = 0 with integer coefficients |a|,|b|,|c|,|d| <= n, a <> 0, having one real root and two conjugate complex roots.

Terms

    a(0) =0a(1) =38a(2) =384a(3) =1614a(4) =4592a(5) =10506a(6) =20828a(7) =37358a(8) =62132a(9) =97574a(10) =146308a(11) =211418a(12) =296032a(13) =403918a(14) =538784a(15) =704918a(16) =906720a(17) =1149162a(18) =1437036a(19) =1776038a(20) =2171556a(21) =2629790a(22) =3156924a(23) =3759698a(24) =4444648a(25) =5219390a(26) =6091008a(27) =7067614a(28) =8157088a(29) =9368178

External references