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