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A252527 Number of (n+2) X (3+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 A252527 #8 Dec 04 2018 11:03:53
%S A252527 621,341,466,610,1114,1748,2332,4244,6760,9112,16552,26576,36016,
%T A252527 65360,105376,143200,259744,419648,571072,1035584,1674880,2280832,
%U A252527 4135552,6692096,9116416,16528640,26753536,36451840,66087424,106984448,145779712
%N A252527 Number of (n+2) X (3+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 A252527 R. H. Hardin, <a href="/A252527/b252527.txt">Table of n, a(n) for n = 1..210</a>
%F A252527 Empirical: a(n) = 6*a(n-3) - 8*a(n-6) for n>8.
%F A252527 Empirical g.f.: x*(621 + 341*x + 466*x^2 - 3116*x^3 - 932*x^4 - 1048*x^5 + 3640*x^6 + 288*x^7) / ((1 - 2*x^3)*(1 - 4*x^3)). - _Colin Barker_, Dec 04 2018
%e A252527 Some solutions for n=4:
%e A252527 ..3..0..3..0..0....3..0..3..3..0....3..2..2..3..2....3..0..3..3..0
%e A252527 ..2..2..3..2..2....2..2..3..2..2....3..0..3..3..1....2..2..3..2..2
%e A252527 ..3..2..2..3..2....3..2..2..3..2....2..2..3..2..2....3..2..2..3..2
%e A252527 ..3..0..3..3..1....3..1..3..3..1....3..2..2..3..2....3..0..3..3..0
%e A252527 ..2..2..3..2..1....2..2..3..2..2....3..1..3..3..0....2..2..3..2..2
%e A252527 ..3..2..2..3..2....3..2..2..3..1....2..2..3..2..2....3..2..2..3..2
%Y A252527 Column 3 of A252532.
%K A252527 nonn
%O A252527 1,1
%A A252527 _R. H. Hardin_, Dec 18 2014