A252580 - OEIS

%I #4 Dec 18 2014 10:37:53

%S 4583,17261,96099,263046,1887578,11285381,31059674,225598956,

%T 1361132361,3729210396,27362165487,166198069299,453536490301,

%U 3356182671339,20487487055456,55725146612802,415147146187485,2543940816582309

%N Number of (6+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 6 of A252574

%H R. H. Hardin, <a href="/A252580/b252580.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 235*a(n-3) -15377*a(n-6) +231134*a(n-9) -2810947*a(n-12) +23472227*a(n-15) -127442070*a(n-18) +618426102*a(n-21) -1174418266*a(n-24) +287094995*a(n-27) +1098948151*a(n-30) -697123678*a(n-33) -202978930*a(n-36) +197586425*a(n-39) -20970000*a(n-42) for n>50

%e Some solutions for n=3

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014