A014762 Squares of numbers in array formed from even elements to the right of middle of rows of Pascal triangle.

16, 100, 36, 3136, 784, 64, 15876, 7056, 1296, 44100, 14400, 100, 213444, 108900, 627264, 48400, 4356, 144, 2944656, 81796, 6084, 4008004, 132496, 196, 130873600, 64128064, 19079424, 3312400, 313600, 14400, 256, 590976100, 378224704