%I #4 Dec 17 2014 10:00:45

%S 964,5061,20998,44456,249530,1068295,2289969,12895653,55487440,

%T 119202170,674431408,2912481205,6264133843,35589145875,154113611916,

%U 331758653516,1891057365728,8206533730107,17678178284409,101024088846291

%N Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7

%C Row 6 of A252407

%H R. H. Hardin, <a href="/A252413/b252413.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 95*a(n-3) -2139*a(n-6) -7409*a(n-9) +194956*a(n-12) +60848*a(n-15) -7025702*a(n-18) +7788378*a(n-21) +119742541*a(n-24) -273713371*a(n-27) -671051999*a(n-30) +2708582795*a(n-33) -2329474380*a(n-36) -526768608*a(n-39) +1416261076*a(n-42) -328618104*a(n-45) -188072944*a(n-48) +71753184*a(n-51) +2455488*a(n-54) -2353536*a(n-57) +248832*a(n-60) for n>63

%e Some solutions for n=4

%e ..2..0..2..2..3..2....2..2..3..2..2..0....1..3..3..1..3..3....2..3..2..2..3..2

%e ..2..2..3..2..2..3....3..2..2..3..2..2....2..0..2..2..3..2....2..2..3..2..2..3

%e ..1..3..3..1..3..0....3..1..3..3..1..3....2..2..3..2..2..0....1..3..0..1..3..3

%e ..2..0..2..2..3..2....2..2..3..2..2..0....1..3..0..1..3..3....2..3..2..2..3..2

%e ..2..2..3..2..2..3....3..2..2..3..2..2....2..3..2..2..0..2....2..2..3..2..2..3

%e ..1..3..3..1..3..3....3..1..3..3..1..3....2..2..3..2..2..3....1..3..3..1..3..3

%e ..2..3..2..2..0..2....2..2..3..2..2..3....1..0..3..1..3..3....2..3..2..2..3..2

%e ..2..2..3..2..2..3....0..2..2..0..2..2....2..3..2..2..0..2....2..2..3..2..2..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014