A252412 - OEIS

%I #4 Dec 17 2014 10:00:04

%S 631,2414,8346,16906,73925,267113,551827,2435059,8866727,18409806,

%T 81776200,299783435,624944548,2793739935,10304968705,21560646122,

%U 96944615567,359575578407,754760825240,3411066520359,12713159431464

%N Number of (5+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 5 of A252407

%H R. H. Hardin, <a href="/A252412/b252412.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 70*a(n-3) -1310*a(n-6) +2636*a(n-9) +32077*a(n-12) -114560*a(n-15) -249921*a(n-18) +1417321*a(n-21) +345748*a(n-24) -7837703*a(n-27) +5163709*a(n-30) +17041697*a(n-33) -25415804*a(n-36) +9724087*a(n-39) +1068754*a(n-42) -1474782*a(n-45) +323236*a(n-48) -26094*a(n-51) +840*a(n-54) for n>55

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2014