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%I A251772 #7 Nov 30 2018 10:05:15
%S A251772 470,1142,2402,4790,12302,27242,55766,148022,332738,688646,1847582,
%T A251772 4175018,8671142,23345702,52842914,109873622,296146862,670682474,
%U A251772 1395012278,3761354582,8519745410,17722964198,47791500542,108256965290
%N A251772 Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum 3 or 6 and every diagonal and antidiagonal sum not 3 or 6.
%H A251772 R. H. Hardin, <a href="/A251772/b251772.txt">Table of n, a(n) for n = 1..210</a>
%F A251772 Empirical: a(n) = a(n-1) + 16*a(n-3) - 16*a(n-4) - 39*a(n-6) + 39*a(n-7) - 36*a(n-9) + 36*a(n-10).
%F A251772 Empirical g.f.: 2*x*(235 + 336*x + 630*x^2 - 2566*x^3 - 1620*x^4 - 2610*x^5 + 4323*x^6 - 864*x^7 - 2592*x^8 + 4788*x^9) / ((1 - x)*(1 - 4*x^3)*(1 - 12*x^3 - 9*x^6)). - _Colin Barker_, Nov 30 2018
%e A251772 Some solutions for n=4:
%e A251772 ..2..0..1....1..2..3....0..3..0....2..1..0....2..3..1....1..2..3....2..0..1
%e A251772 ..3..3..0....3..0..3....3..2..1....3..3..0....3..3..0....2..1..0....1..0..2
%e A251772 ..1..0..2....2..1..0....0..1..2....1..2..3....1..0..2....0..0..3....0..3..3
%e A251772 ..2..3..1....1..2..0....3..0..0....2..1..3....2..3..1....1..2..0....2..3..1
%e A251772 ..3..0..0....0..3..3....3..2..1....3..0..0....3..3..0....2..1..3....1..0..2
%e A251772 ..1..3..2....2..1..3....0..1..2....1..2..0....1..0..2....0..3..0....3..0..0
%Y A251772 Column 1 of A251779.
%K A251772 nonn
%O A251772 1,1
%A A251772 _R. H. Hardin_, Dec 08 2014

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