A340790 - OEIS

A340790

Pythagorean triples (X, Y, Z) that are the componentwise products of 2 primitive Pythagorean triples (x,y,z) and (r,s,t), that is, X=x*r, Y=y*s, ordered by increasing Z.

%I #8 Jan 21 2021 10:06:17

%S 1120,5544,5656,5040,5775,7665,935,7920,7975,1716,9360,9516,11700,

%T 44880,46380,14040,53856,55656,17325,100320,101805,3315,107712,107763,

%U 70560,96525,119565,11088,132825,133287,30240,141284,144484,47424,150480,157776,106227,237120,259827

%N Pythagorean triples (X, Y, Z) that are the componentwise products of 2 primitive Pythagorean triples (x,y,z) and (r,s,t), that is, X=x*r, Y=y*s, ordered by increasing Z.

%H Lorenz Halbeisen and Norbert Hungerbühler, <a href="https://arxiv.org/abs/2101.08163">Pairing Pythagorean Pairs</a>, arXiv:2101.08163 [math.NT], 2021.

%e [7, 24, 25] X [160, 231, 281] = [7*160, 24*25, 5656] = [1120, 5544, 5656].

%Y Cf. A020882, A046086, A046087.

%K nonn,tabf

%O 1,1

%A _Michel Marcus_, Jan 21 2021