A207467 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 13, 81, 98, 100, 16, 18, 169, 271, 358, 256, 26, 25, 324, 677, 1307, 1152, 676, 42, 34, 625, 1504, 4219, 5369, 3910, 1764, 68, 46, 1156, 3399, 11760, 21517, 23645, 12994, 4624, 110, 62, 2116, 7220, 33393, 71928, 119965, 101233

Offset

1,1

Comments

Table starts

..2....4.....6......9......13.......18........25........34.........46

..4...16....36.....81.....169......324.......625......1156.......2116

..6...36....98....271.....677.....1504......3399......7220......15184

.10..100...358...1307....4219....11760.....33393.....88198.....229458

.16..256..1152...5369...21517....71928....247631....778010....2406006

.26..676..3910..23645..119965...491948...2090927...7990970...29983194

.42.1764.12994.101233..644401..3205650..16675001..76629370..345252578

.68.4624.43596.439063.3523073.21396734.136803627.760840082.4139073950

Links

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

Example

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

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Row 1 is A171861(n+1)

Row 2 is A207025

Row 3 is A207112

Sequence in context: A207949 A207346 A207895 * A207918 A207519 A208698

Adjacent sequences: A207464 A207465 A207466 * A207468 A207469 A207470

Keyword

nonn,tabl

Author

R. H. Hardin Feb 18 2012

Status

approved