A251649 - OEIS

%I #4 Dec 06 2014 10:45:26

%S 2382,10248,31022,98306,482506,1563586,5248890,25151338,86588602,

%T 309874186,1436889898,5253854634,19877542282,89455192554,344043647178,

%U 1357743586282,5972706277354,23836807829578,96793244877322

%N Number of (n+2)X(5+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9

%C Column 5 of A251652

%H R. H. Hardin, <a href="/A251649/b251649.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -3*a(n-2) +18*a(n-3) -234*a(n-4) +144*a(n-5) +993*a(n-6) -756*a(n-7) -755*a(n-8) +630*a(n-9) -42*a(n-11) for n>14

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 06 2014