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

%I #6 Mar 08 2023 13:48:15

%S 413202,3073138,38456182,266585018,4235688278,56477451898,

%T 395032012018,6329242225706,84607975731406,594794453852114,

%U 9561704850018734,127959128017190450,900849501297997482,14485002806380503874

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

%C Column 7 of A251829.

%H R. H. Hardin, <a href="/A251828/b251828.txt">Table of n, a(n) for n = 1..164</a>

%e Some solutions for n=1

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

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

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

%Y Cf. A251829.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 09 2014