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

%I #4 Dec 11 2014 06:35:50

%S 2524,4624,6086,10820,27366,59760,153792,424648,1188644,3247774,

%T 9831616,27631982,83818706,238563390,729213256,2076327410,6367943136,

%U 18160895004,55719714944,159044646208,488184738886,1393489632448,4278578773162

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

%C Column 3 of A251923

%H R. H. Hardin, <a href="/A251918/b251918.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A251918/a251918.txt">Empirical recurrence of order 73</a>

%F Empirical recurrence of order 73 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2014