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

%I #4 Dec 17 2014 09:55:38

%S 7662,8307,32710,122653,551827,2289969,8765249,39649367,163860739,

%T 627061685,2839245764,11737621589,44915317915,203379617026,

%U 841031366884,3218827526753,14576234410496,60290108523804,230784383770992

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

%C Column 7 of A252407

%H R. H. Hardin, <a href="/A252406/b252406.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..2..2..3..2..2..3..2..2..3....2..2..3..2..2..3..2..2..3

%e ..1..3..3..1..3..3..1..3..3....1..3..3..1..3..3..1..3..3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014