A208555 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 1 vertically

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 90, 81, 12, 26, 256, 330, 225, 144, 16, 42, 676, 1008, 1089, 420, 256, 20, 68, 1764, 3354, 3969, 2508, 784, 400, 25, 110, 4624, 10710, 16641, 10080, 5776, 1260, 625, 30, 178, 12100, 34884, 65025, 50052, 25600, 11020

Offset

1,1

Comments

Table starts

..2...4....6....10.....16.....26......42.......68.......110........178

..4..16...36...100....256....676....1764.....4624.....12100......31684

..6..36...90...330...1008...3354...10710....34884....112530.....364722

..9..81..225..1089...3969..16641...65025...263169...1046529....4198401

.12.144..420..2508..10080..50052..221340..1042416...4742628...21989868

.16.256..784..5776..25600.150544..753424..4129024..21492496..115175824

.20.400.1260.11020..52000.351140.1913940.11836400..67894220..407225740

.25.625.2025.21025.105625.819025.4862025.33930625.214476025.1439823025

Links

R. H. Hardin, Table of n, a(n) for n = 1..2132

Example

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

Crossrefs

Column 1 is A002620(n+2)

Column 2 is A030179(n+2)

Column 3 is A207363

Row 1 is A006355(n+2)

Row 2 is A206981

Row 3 is A207454

Sequence in context: A208688 A207774 A207661 * A208420 A208028 A208369

Adjacent sequences: A208552 A208553 A208554 * A208556 A208557 A208558

Keyword

nonn,tabl

Author

R. H. Hardin Feb 28 2012

Status

approved