A229513 Number of n X n 0..2 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X (n+1) 0..2 array without adjacent equal elements in the latter.

3, 33, 775, 34151, 3336437, 701321971, 329002027139, 336641338602285, 765068159631612145