A072904 Nonsquares m such that the discriminant of the quadratic field Q(sqrt(m)) < m.

18, 20, 27, 32, 45, 48, 50, 52, 54, 63, 68, 72, 75, 80, 84, 90, 96, 98, 99, 108, 112, 116, 117, 125, 126, 128, 132, 135, 147, 148, 150, 153, 160, 162, 164, 171, 175, 176, 180, 189, 192, 198, 200, 207, 208, 212, 216, 224, 228, 234, 240, 242, 243, 244, 245, 250

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) appears to be asymptotic to C*n with C = 3.4... .

Mathematica

Select[Range[250], !IntegerQ@Sqrt[#] && NumberFieldDiscriminant[Sqrt[#]] < # &] (* Amiram Eldar, Jun 24 2022 *)

Prog

(PARI) isok(m) = !issquare(m) && (quaddisc(m) < m); \\ Michel Marcus, Feb 18 2021

Crossrefs

Cf. A037449.

Intersection of A000037 and A072903.

Sequence in context: A295745 A328934 A255848 * A268284 A367268 A054279

Adjacent sequences: A072901 A072902 A072903 * A072905 A072906 A072907

Keyword

easy,nonn

Author

Benoit Cloitre, Aug 10 2002

Status

approved