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Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8
1

%I #6 Dec 13 2014 06:11:24

%S 10084,14924,26840,45444,191804,398502,658902,2988638,6379018,

%T 11153632,52020290,111908868,199878996,963130024,2076327370,

%U 3762297344,18635844314,40074236458,72960957866,370050794622,791436034456

%N Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8

%C Column 7 of A252053

%H R. H. Hardin, <a href="/A252052/b252052.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252052/a252052_1.txt">Empirical recurrence of order 69</a>

%F Empirical recurrence of order 69 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 13 2014