A146090 Number of n X n arrays of squares of integers with every (n-1)X(n-1) subblock summing to 4 and every element equal to at least one neighbor.
1, 93, 538, 1532, 3630, 7540, 14138, 24480, 39802, 61520, 91230, 130708, 181910, 246972, 328210, 428120, 549378, 694840, 867542, 1070700, 1307710, 1582148, 1897770, 2258512, 2668490, 3132000, 3653518, 4237700, 4889382, 5613580
Offset: 3