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Every number is the sum of its vertical neighbours divided by 22 (e.g. 3 = (43 + 23)/22), and is also the sum of its right neigbour and 49 times its left neighbour, and then divided by 26 (e.g. 3 = (29 + 49 x 1)/26).

The formula that gives these numbers is

   112 (6-√30) (11+2√30)n (13+2√30)m   +   112 (6+√30) (11-2√30)n (13-2√30)m

for row number  n = -10, -9, -8, ..., 8, 9, 10   and column number  m = 0, 1, 2, ..., 8, 9, 10  .

A typical example of the results in Chapter 7 of my PhD thesis is that in this table, even if extended infinitely to the top, bottom and right, the only numbers that have only  3  and  7  as possible prime factors, are  1  (at n = -1, 0 and m = 0),  3  (at n = 0 and m = 1), and  21  (at n = -2, 1 and m = 0).