A252581 - OEIS

%I #4 Dec 18 2014 10:38:42

%S 8279,39419,275252,802760,7115253,53055996,155864925,1380518004,

%T 10339904588,30371389585,268585630512,2020072809256,5932838682650,

%U 52395775636832,395480404508430,1161448118532776,10243694081474738

%N Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7

%C Row 7 of A252574

%H R. H. Hardin, <a href="/A252581/b252581.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 414*a(n-3) -49716*a(n-6) +1528047*a(n-9) -30967009*a(n-12) +445144640*a(n-15) -3431389746*a(n-18) +11737912047*a(n-21) -18662541672*a(n-24) +16329417636*a(n-27) -9970599024*a(n-30) +4262742720*a(n-33) -681198336*a(n-36) for n>45

%e Some solutions for n=2

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014