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Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7
1

%I #4 Dec 14 2014 20:44:04

%S 2581,3712,5025,7570,12522,21186,37337,68096,124387,231325,437943,

%T 826729,1573451,3026541,5799316,11168884,21666676,41896587,81298755,

%U 158474687,308340366,601219256,1175888798,2297341782,4494637959,8811577756

%N Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 2 3 4 6 or 7

%C Column 1 of A252167

%H R. H. Hardin, <a href="/A252160/b252160.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014