|
%I #9 Dec 01 2018 10:13:11
%S 2058,788,1634,2658,6070,9834,17772,38610,70968,132528,284488,536928,
%T 1021632,2178336,4172160,8018688,17036416,32884224,63532032,134730240,
%U 261101568,505786368,1071597568,2080923648,4036411392,8547803136
%N Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and column sum equal to 0 2 3 6 or 7 and every 3 X 3 diagonal and antidiagonal sum not equal to 0 2 3 6 or 7.
%H R. H. Hardin, <a href="/A252112/b252112.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 12*a(n-3) - 32*a(n-6) for n>11.
%F Empirical g.f.: 2*x*(1029 + 394*x + 817*x^2 - 11019*x^3 - 1693*x^4 - 4887*x^5 + 25866*x^6 - 4507*x^7 + 2624*x^8 + 2160*x^9 + 7704*x^10) / ((1 - 2*x)*(1 + 2*x + 4*x^2)*(1 - 4*x^3)). - _Colin Barker_, Dec 01 2018
%e Some solutions for n=4:
%e ..1..0..1..1..0..1..1..0....2..1..0..1..1..0..1..1....0..3..0..0..3..0..0..2
%e ..1..0..1..1..0..1..1..0....1..1..0..1..1..0..1..1....1..0..1..1..0..1..1..0
%e ..0..3..0..0..3..0..0..2....0..0..2..0..0..2..0..0....1..0..1..1..0..1..1..0
%e ..1..0..1..1..0..1..1..0....1..1..0..1..1..0..1..1....0..2..0..0..2..0..0..2
%e ..1..0..1..1..0..1..1..0....2..1..0..1..1..0..1..1....2..0..1..1..0..1..1..0
%e ..0..3..0..0..2..0..0..2....0..0..3..0..0..3..0..0....1..0..1..1..0..1..1..0
%Y Column 6 of A252114.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2014
| 