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A256735
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum zero and no antidiagonal sum three
9
384, 2304, 2304, 13056, 21904, 13056, 73984, 186624, 186624, 73984, 413440, 1648656, 2267136, 1648656, 413440, 2310400, 14137600, 30294016, 30294016, 14137600, 2310400, 12865280, 122323600, 388595712, 635846656, 388595712
OFFSET
1,1
COMMENTS
Table starts
........384.........2304...........13056.............73984..............413440
.......2304........21904..........186624...........1648656............14137600
......13056.......186624.........2267136..........30294016...........388595712
......73984......1648656........30294016.........635846656.........12465275904
.....413440.....14137600.......388595712.......12465275904........369798053888
....2310400....122323600......5101387776......249872016384......11265313555456
...12865280...1047687424.....65927512064.....4910514177024.....337855448236032
...71639296...9002973456....859759181824....97652975330304...10232633445990400
..398552832..77177284864..11156772618240..1928407075431424..307652425443164160
.2217279744.662446232464.145188233150464.38241122864997376.9286825801707749376
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 7*a(n-1) -56*a(n-3) +64*a(n-4)
k=2: [order 15]
k=3: [order 16]
k=4: [order 78] for n>80
EXAMPLE
Some solutions for n=2 k=4
..0..0..0..0..1..1....0..0..0..1..0..0....0..0..0..1..0..0....0..0..0..0..0..1
..1..0..1..0..0..1....1..0..1..0..0..1....1..1..0..1..0..0....0..0..1..0..1..1
..0..0..1..0..1..1....1..0..1..1..1..0....1..0..0..1..0..1....0..1..1..0..1..1
..0..0..1..0..1..1....0..0..1..0..1..0....0..0..0..0..0..1....0..1..0..0..0..0
CROSSREFS
Sequence in context: A212430 A134175 A233886 * A256728 A236029 A252904
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 09 2015
STATUS
approved