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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

^{1}⁄_{12} (6-√30) (11+2√30)^{n} (13+2√30)^{m}
+ ^{1}⁄_{12} (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).