A252562 - OEIS

%I #4 Dec 18 2014 09:53:19

%S 1265,3084,10585,24336,104515,386004,902276,3886119,14439854,33740636,

%T 145226515,541433298,1264809720,5437258963,20326627042,47472999320,

%U 203838402331,764011813890,1783974607832,7651263017251,28749096631362

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

%C Row 4 of A252558

%H R. H. Hardin, <a href="/A252562/b252562.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 78*a(n-3) -1701*a(n-6) +7656*a(n-9) -30460*a(n-12) +70284*a(n-15) -70416*a(n-18) +25968*a(n-21) -1408*a(n-24) for n>30

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014