A255783 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 and no column sum 0

140, 436, 436, 1512, 1743, 1512, 5126, 8672, 8672, 5126, 17325, 37281, 58729, 37281, 17325, 58707, 161602, 327340, 327340, 161602, 58707, 198635, 726684, 1968584, 2413487, 1968584, 726684, 198635, 672183, 3204754, 11945779, 18624528, 18624528

Offset

1,1

Comments

Table starts

.....140.......436........1512.........5126..........17325............58707

.....436......1743........8672........37281.........161602...........726684

....1512......8672.......58729.......327340........1968584.........11945779

....5126.....37281......327340......2413487.......18624528........149549264

...17325....161602.....1968584.....18624528......193188995.......2128300125

...58707....726684....11945779....149549264.....2128300125......32105186518

..198635...3204754....71461994...1182407902....22610019790.....463394276783

..672183..14164510...428975207...9335360280...240398279606....6707363776886

.2274999..62954158..2589583742..74302402090..2591552387296...98614808002346

.7699081.278903301.15580188674.590258349021.27827020619579.1440705191111821

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

k=2: [order 54] for n>57

k=3: [order 78] for n>83

Example

Some solutions for n=3 k=4
..0..1..0..1..0..1....0..1..1..1..0..0....0..0..1..0..1..1....0..1..0..1..0..1
..1..1..1..1..1..0....1..1..1..1..1..1....1..1..1..1..1..0....0..1..1..1..0..1
..1..1..1..1..1..1....0..1..1..1..1..1....0..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..1..1..0....1..1..1..1..0..1
..1..1..1..0..1..0....1..0..1..1..0..1....1..1..1..0..1..0....1..1..0..1..1..1

Crossrefs

Sequence in context: A360217 A249554 A196447 * A255776 A242319 A010080

Adjacent sequences: A255780 A255781 A255782 * A255784 A255785 A255786

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 06 2015

Status

approved