A255149 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 1 and no column sum 1

47, 115, 115, 302, 371, 302, 784, 1310, 1310, 784, 2086, 4576, 6271, 4576, 2086, 5661, 16386, 29731, 29731, 16386, 5661, 15406, 59681, 143993, 190731, 143993, 59681, 15406, 41999, 217262, 706102, 1241971, 1241971, 706102, 217262, 41999, 114801

Offset

1,1

Comments

Table starts

.....47......115.......302.........784.........2086...........5661

....115......371......1310........4576........16386..........59681

....302.....1310......6271.......29731.......143993.........706102

....784.....4576.....29731......190731......1241971........8173810

...2086....16386....143993.....1241971.....10864279.......96066842

...5661....59681....706102.....8173810.....96066842.....1141237349

..15406...217262...3459923....53762469....848440805....13537915704

..41999...791181..16957488...353508918...7490188992...160551042845

.114801..2886865..83205092..2326278688..66184319354..1905704039315

.314146.10536452.408315639.15311112333.584890655201.22622439606750

Links

R. H. Hardin, Table of n, a(n) for n = 1..312

Formula

Empirical for column k:

k=1: [linear recurrence of order 13]

k=2: [order 22]

k=3: [order 42]

k=4: [order 76]

Example

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

Crossrefs

Sequence in context: A044615 A142057 A246932 * A255142 A114646 A239686

Adjacent sequences: A255146 A255147 A255148 * A255150 A255151 A255152

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2015

Status

approved