[seqfan] On Pythagorean triple

[Veikko Pohjola]

Dear seqfans,
The following sequence does not appear in OEIS. It may be defined as the smallest a(n) in Pythagorean triple (a,b,c) such that c(n)-b(n )= n.
a(n) = 3, 4, 9, 8, 15, 12, 21, 12, 15, 20, 33, 24, 39, 28, 45, 24, 51, 24, ...
I find it particularly difficult to judge whether or not the sequence is of any common interest, while all essential seems to have already been said about Pythagorean triple. I could submit it, but only if encouraged by somebody having better insight.
Regards, Veikko