A145803 1/2 the number of islands of ones fitting in an n X n array symmetric under horizontal and vertical reflection with all ones connected only either two adjacent vertically or two adjacent horizontally.

0, 0, 0, 2, 3, 4, 6, 7, 9, 12, 14, 16, 20, 23, 25, 30, 34, 38, 42, 46, 53, 58