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Number of (n+2) X (2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3 X 3 subblock summing to 2 or 7.
1

%I #6 May 24 2024 13:33:24

%S 950384,34096384,1228480800,44527823912,1618348274612,58876374190872,

%T 2143054938148128,78023852108626348,2840985823286633136,

%U 103450828934076482648,3767124749546516886092,137180191804313105874632

%N Number of (n+2) X (2+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3 X 3 subblock summing to 2 or 7.

%C Column 2 of A251912.

%H R. H. Hardin, <a href="/A251911/b251911.txt">Table of n, a(n) for n = 1..33</a>

%e Some solutions for n=1

%e ..1..1..2..2....0..2..2..2....0..3..3..2....0..0..3..0....1..2..0..2

%e ..1..1..2..1....1..1..1..3....1..0..2..1....0..0..3..1....1..1..1..1

%e ..2..1..2..1....2..0..3..3....3..2..3..3....0..3..0..2....2..1..2..1

%Y Cf. A251912.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2014