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Number of (n+2)X(6+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7
1

%I #4 Dec 08 2014 20:08:39

%S 22632,85826,362242,1765074,10134314,52977162,302373278,1884805604,

%T 11306760510,70754000356,457154495532,2916654024414,18881779134548,

%U 123441703199668,803709099173798,5255637293778082,34467691631272022

%N Number of (n+2)X(6+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7

%C Column 6 of A251791

%H R. H. Hardin, <a href="/A251789/b251789.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 08 2014