A146294 Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 8 and every element equal to at least one neighbor.
4, 6, 13372, 569370, 4490816, 20143086, 67388028, 187458768, 458291208, 1017185004, 2092976212, 4050199948, 7448027128, 13117064768
Offset: 3