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Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7
1

%I #4 Dec 14 2014 10:41:20

%S 4671,34891,263585,566817,4795018,40402457,82061030,744011930,

%T 6560422082,12886451653,121140212742,1089930104949,2105040371507,

%U 20135140818930,182800461274177,350087883324934,3376781256447826,30783967988225254

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7

%C Column 5 of A252130

%H R. H. Hardin, <a href="/A252127/b252127.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A252127/a252127.txt">Empirical recurrence of order 67</a>

%F Empirical recurrence of order 67 (see link above)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014