A208039 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 1 0 1 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 102, 81, 13, 25, 225, 289, 279, 169, 19, 40, 625, 1071, 961, 741, 361, 28, 64, 1600, 3969, 4743, 3249, 1995, 784, 41, 104, 4096, 13230, 23409, 21147, 11025, 5404, 1681, 60, 169, 10816, 44100, 100215, 137641, 94605

Offset

1,1

Comments

Table starts

..2....4.....6......9......15.......25........40.........64.........104

..4...16....36.....81.....225......625......1600.......4096.......10816

..6...36...102....289....1071.....3969.....13230......44100......153090

..9...81...279....961....4743....23409....100215.....429025.....1942075

.13..169...741...3249...21147...137641....766115....4264225....25232235

.19..361..1995..11025...94605...811801...5866411...42393121...327288437

.28..784..5404..37249..422477..4791721..44918280..421070400..4242161160

.41.1681.14555.126025.1889665.28334329.344414069.4186478209.55078752265

Links

R. H. Hardin, Table of n, a(n) for n = 1..450

Example

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

Crossrefs

Column 1 is A000930(n+3)

Column 2 is A207170

Column 3 is A208023

Column 4 is A141583(n+3) for n>1

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Row 3 is A207704

Sequence in context: A207729 A208118 A207908 * A207426 A207741 A207949

Adjacent sequences: A208036 A208037 A208038 * A208040 A208041 A208042

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 22 2012

Status

approved