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A252526 Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7.

%I A252526 #10 Dec 04 2018 11:03:47
%S A252526 730,337,334,426,676,964,1344,2312,3336,4800,8464,12304,18048,32288,
%T A252526 47136,69888,126016,184384,274944,497792,729216,1090560,1978624,
%U A252526 2900224,4343808,7889408,11567616,17338368,31507456,46203904,69279744,125929472
%N A252526 Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7.
%H A252526 R. H. Hardin, <a href="/A252526/b252526.txt">Table of n, a(n) for n = 1..210</a>
%F A252526 Empirical: a(n) = 6*a(n-3) - 8*a(n-6) for n>10.
%F A252526 Empirical g.f.: x*(730 + 337*x + 334*x^2 - 3954*x^3 - 1346*x^4 - 1040*x^5 + 4628*x^6 + 952*x^7 + 224*x^8 + 144*x^9) / ((1 - 2*x^3)*(1 - 4*x^3)). - _Colin Barker_, Dec 04 2018
%e A252526 Some solutions for n=4:
%e A252526 ..3..1..2..3....0..2..0..0....1..0..1..1....2..0..0..3....2..3..2..2
%e A252526 ..3..1..3..3....1..1..0..1....2..1..0..1....1..0..1..1....1..2..3..2
%e A252526 ..2..2..3..2....0..1..1..0....2..0..0..2....1..1..0..1....1..3..3..1
%e A252526 ..3..2..2..3....0..2..0..0....1..0..1..1....2..0..0..2....2..3..2..2
%e A252526 ..3..0..3..3....1..1..0..1....1..1..0..1....1..0..1..2....2..2..3..1
%e A252526 ..2..2..3..2....0..1..1..0....2..0..0..3....1..1..0..1....1..3..3..1
%Y A252526 Column 2 of A252532.
%K A252526 nonn
%O A252526 1,1
%A A252526 _R. H. Hardin_, Dec 18 2014