A144716 (A144325(n)^2 + A144313(n)^2 + A144315(n)^2) / 3.
10817, 25153, 45969, 158377, 206313, 855113, 1379273, 1573833, 2233913, 3101849, 3663737, 4880169, 5446849, 5795377, 6374833, 6710249, 7788217, 8673409, 10280489, 10737713, 11401337, 11917969, 12744377, 13922289, 16282793
Offset: 1