A054737 Numbers n such that n^2 can be split into two nonzero squares (perhaps with leading zeros) in exactly two different ways.
253, 1265, 2225, 2530, 6325, 12650, 18025, 18975, 22250, 24982, 25300, 31625, 63250, 94875, 126500, 158125, 180250, 189750, 221375, 222500, 249820, 253000, 316250, 632500, 702247, 948750, 1265000, 1581250, 1802500, 1897500, 2213750, 2225000, 2498200, 2530000
Offset: 1
Examples
2225^2=4950625 can be split into 49=7^2 and 50625=225^2 or into 4=2^2 and 950625=975^2; 2530^2=6400900 can be split into 6400=80^2 and 900=30^2 or into 64=8^2 and 00900=30^2
Extensions
More terms from Sean A. Irvine, Feb 20 2022