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Number of (n+2)X(1+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum
1

%I #5 Apr 14 2015 12:03:40

%S 15066,311364,6508512,136048896,2834352000,59049000000,1231525944000,

%T 25684705088064,535477332658752,11163685656822336,232773660245307456,

%U 4853556304757222976,101196180631622776896,2109930601689036657216

%N Number of (n+2)X(1+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum

%C Column 1 of A257017

%H R. H. Hardin, <a href="/A257014/b257014.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +2592*a(n-3) +40824*a(n-4) +192456*a(n-5) +1679616*a(n-6) -90699264*a(n-8) -272097792*a(n-9)

%e Some solutions for n=1

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

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

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

%Y Cf. A257017

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 14 2015