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