|
%I #7 Dec 03 2018 10:53:10
%S 4682,1496,1341,1475,1894,2356,2778,3836,5035,6189,8920,12049,15119,
%T 22230,30412,38498,57076,78487,99705,148304,204349,259947,387142,
%U 533860,679466,1012428,1396531,1777781,2649448,3655033,4653207,6935222,9567868
%N Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.
%H R. H. Hardin, <a href="/A252382/b252382.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-3) - 4*a(n-6) + a(n-9) for n>12.
%F Empirical g.f.: x*(4682 + 1496*x + 1341*x^2 - 17253*x^3 - 4090*x^4 - 3008*x^5 + 15606*x^6 + 2244*x^7 + 975*x^8 - 3705*x^9 - 344*x^10 - 8*x^11) / ((1 - x)*(1 + x + x^2)*(1 - 3*x^3 + x^6)). - _Colin Barker_, Dec 03 2018
%e Some solutions for n=4:
%e ..3..1..2..0..1..2..3..1....2..3..0..2..1..3..2..1....0..1..2..0..1..2..0..1
%e ..1..0..2..1..0..2..1..0....0..1..2..0..1..2..0..1....0..0..3..0..0..3..0..0
%e ..0..0..0..0..3..0..0..0....0..0..0..0..0..3..0..0....2..1..3..2..1..3..2..1
%e ..0..1..2..3..1..2..0..1....2..1..0..2..1..3..2..1....0..1..2..0..1..2..0..1
%e ..1..0..2..1..0..2..1..0....0..1..2..0..1..2..0..1....0..0..3..0..0..3..0..0
%e ..0..3..0..0..0..0..0..3....0..0..0..0..0..3..2..0....2..1..3..2..1..3..1..1
%Y Column 6 of A252384.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
| 