

A106753


Discriminants, negated, of definite binary quadratic forms.


0



3, 7, 8, 11, 12, 15, 19, 20, 23, 24, 27, 28, 31, 32, 35, 39, 40, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 63, 67, 68, 71, 72, 75, 76, 79, 80, 83, 84, 87, 88, 91, 92, 95, 96, 99, 103, 104, 107, 108, 111, 112, 115, 116, 119, 120, 123, 124, 127, 128, 131, 132, 135, 136, 139
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OFFSET

1,1


COMMENTS

A definite binary quadratic form a*x^2 + b*x*y + c*y^2 over the integers has discriminant D = b^2  4*a*c < 0; D is assumed to be a nonsquare.


LINKS

Table of n, a(n) for n=1..64.


FORMULA

a(n) is 0 (mod 4) or 1 (mod 4), but not a square.


MATHEMATICA

Select[ Range[148], (Mod[ #, 4] == 0  Mod[ #, 4] == 1) && !IntegerQ[Sqrt[ # ]] & ]


CROSSREFS

Cf. A014601, A042948 (with squares), A079896 (indefinite case).
Sequence in context: A283759 A261415 A285164 * A174871 A062863 A194470
Adjacent sequences: A106750 A106751 A106752 * A106754 A106755 A106756


KEYWORD

easy,nonn


AUTHOR

Steven Finch, May 16 2005


STATUS

approved



