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