A156430 Number of nXn arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 2.

1, 2, 10, 12, 84, 132, 954, 1728, 13290, 26820, 217500, 481320, 4086600, 9783480, 86549820, 221921280, 2037627900, 5552479800, 52745205240, 151802154000, 1487961422640, 4500041903280, 45412066438200, 143712079822080