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

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

R. H. Hardin, Table of n, a(n) for n = 1..337

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

Adjacent sequences: A256732 A256733 A256734 * A256736 A256737 A256738

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 09 2015

Status

approved