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Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8
1

%I #4 Dec 17 2014 15:30:47

%S 8624,9056,62391,409090,2670237,17562191,115183323,755607698,

%T 4967204849,32613906966,214022771622,1405186467829,9227158423671,

%U 60580408167661,397722666715044,2611240940819539,17144272724693674,112560751779945208

%N Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8

%C Column 6 of A252473

%H R. H. Hardin, <a href="/A252471/b252471.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252471/a252471.txt">Empirical recurrence of order 72</a>

%F Empirical recurrence of order 72 (see link above)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014