OFFSET
1,1
COMMENTS
n is present in the sequence just in case the elliptic curve Y^2 = (n^4+4)*X^4 + 8*n^2*X^3 - 2*(n^4-4)*X^2 - 8*n^2*X + (n^4+4) has positive rank over the rationals. Note (X,Y)=(1,4) is a point on the curve.
Some entries in this sequence and some omissions from the sequence are based on standard conjectures about elliptic curves.
EXAMPLE
5 is in the sequence because the rational triangle with sides (a, b, c) = (4097/858, 5, 401/858) has area 1 and one side is 5.
CROSSREFS
KEYWORD
nonn,hard
AUTHOR
James R. Buddenhagen, Jan 10 2012
STATUS
approved