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T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum
4

%I #4 Apr 14 2015 12:05:49

%S 15066,311364,311364,6508512,14776336,6508512,136048896,717382656,

%T 717382656,136048896,2834352000,34828517376,82198167552,34828517376,

%U 2834352000,59049000000,1679616000000,9418319069184,9418319069184

%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

%C Table starts

%C .....15066......311364.......6508512........136048896.........2834352000

%C ....311364....14776336.....717382656......34828517376......1679616000000

%C ...6508512...717382656...82198167552....9418319069184...1067360882688000

%C .136048896.34828517376.9418319069184.2546899517177856.678285544965341184

%H R. H. Hardin, <a href="/A257017/b257017.txt">Table of n, a(n) for n = 1..59</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 9]

%F k=2: [order 27]

%e Some solutions for n=1 k=4

%e ..0..0..0..2..0..2....0..1..0..1..0..1....0..2..0..2..0..2....0..0..0..1..0..0

%e ..0..0..0..0..1..0....0..0..0..0..0..0....0..0..0..0..1..0....0..0..0..1..1..1

%e ..2..1..0..2..1..1....2..1..0..0..1..1....0..1..1..0..2..1....1..1..2..1..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Apr 14 2015