A255159 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 0 or 1 and no column sum 0 or 1

28, 62, 62, 141, 158, 141, 331, 459, 459, 331, 773, 1285, 1637, 1285, 773, 1782, 3553, 5615, 5615, 3553, 1782, 4105, 9978, 19437, 24076, 19437, 9978, 4105, 9484, 27903, 67465, 102481, 102481, 67465, 27903, 9484, 21926, 77798, 232685, 437238, 538898

Offset

1,1

Comments

Table starts

....28.....62.....141.......331........773........1782.........4105

....62....158.....459......1285.......3553........9978........27903

...141....459....1637......5615......19437.......67465.......232685

...331...1285....5615.....24076.....102481......437238......1863728

...773...3553...19437....102481.....538898.....2861823.....15122739

..1782...9978...67465....437238....2861823....18908787....124074113

..4105..27903..232685...1863728...15122739...124074113...1010639534

..9484..77798..804189...7949259...79837911...813938431...8227259834

.21926.217554.2784175..33910512..422334503..5349887137..67114117967

.50673.608257.9625969.144564567.2232885898.35133229405.547056786780

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) -a(n-2) +3*a(n-3) +a(n-4) +2*a(n-5) +2*a(n-6)

k=2: [order 11]

k=3: [order 18] for n>20

k=4: [order 29] for n>31

k=5: [order 49] for n>54

k=6: [order 79] for n>86

Example

Some solutions for n=4 k=4
..1..1..1..1..0..1....0..1..1..0..1..1....1..1..1..1..1..1....1..1..1..1..0..1
..1..1..1..1..1..1....1..1..1..1..1..0....0..1..1..1..1..1....1..1..0..1..1..1
..0..1..1..1..1..0....1..1..1..1..1..1....1..1..1..0..1..1....0..1..1..1..1..0
..1..1..1..1..1..1....1..1..1..1..0..1....1..1..1..1..1..1....1..1..1..1..1..1
..1..1..1..1..1..1....0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1
..1..1..1..1..1..0....1..1..1..1..1..0....1..1..1..0..1..1....1..1..1..1..1..1

Crossrefs

Sequence in context: A329306 A329307 A336088 * A071750 A255152 A159652

Adjacent sequences: A255156 A255157 A255158 * A255160 A255161 A255162

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2015

Status

approved