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%I #4 Jun 03 2015 09:48:42
%S 11532,179776,179776,2826448,4884100,2826448,44622400,134652816,
%T 134652816,44622400,702129040,3749847696,6542200832,3749847696,
%U 702129040,11033401600,103717490704,321924603456,321924603456,103717490704
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum equal to the central column sum
%C Table starts
%C .........11532.........179776.........2826448.........44622400........702129040
%C ........179776........4884100.......134652816.......3749847696.....103717490704
%C .......2826448......134652816......6542200832.....321924603456...15675466093600
%C ......44622400.....3749847696....321924603456...28226268865600.2446055780403456
%C .....702129040...103717490704..15675466093600.2446055780403456
%C ...11033401600..2859893618884.760019986771600
%C ..173567878848.79025557095424
%C .2731694950656
%H R. H. Hardin, <a href="/A258564/b258564.txt">Table of n, a(n) for n = 1..39</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 36]
%e Some solutions for n=1 k=4
%e ..0..0..0..0..0..1....0..0..0..0..1..2....0..0..0..0..1..0....0..0..0..0..0..0
%e ..2..2..1..0..1..1....2..0..1..0..2..0....2..2..2..0..1..2....1..2..2..1..1..0
%e ..1..1..0..0..2..0....1..1..2..0..1..0....0..1..1..0..0..1....1..2..0..0..2..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jun 03 2015
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