A209224 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 1 1 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 15, 81, 60, 81, 13, 25, 225, 100, 126, 169, 19, 40, 625, 240, 196, 234, 361, 28, 64, 1600, 576, 504, 324, 456, 784, 41, 104, 4096, 1296, 1296, 900, 576, 896, 1681, 60, 169, 10816, 2916, 3312, 2500, 1776, 1024, 1722, 3600, 88, 273

Offset

1,1

Comments

Table starts

..2....4....6....9...15....25....40.....64.....104.....169......273......441

..4...16...36...81..225...625..1600...4096...10816...28561....74529...194481

..6...36...60..100..240...576..1296...2916....6804...15876....36288....82944

..9...81..126..196..504..1296..3312...8464...21712...55696...142544...364816

.13..169..234..324..900..2500..6900..19044...52992..147456...407808..1127844

.19..361..456..576.1776..5476.15984..46656..143856..443556..1312020..3880900

.28..784..896.1024.3456.11664.38232.125316..423384.1430416..4755296.15808576

.41.1681.1722.1764.6300.22500.80400.287296.1037696.3748096.13540384.48916036

Links

R. H. Hardin, Table of n, a(n) for n = 1..884

Example

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

Crossrefs

Column 1 is A000930(n+3)

Column 2 is A207170

Column 3 is A208496

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Row 3 is A207694

Sequence in context: A208007 A207123 A207442 * A207693 A208108 A207729

Adjacent sequences: A209221 A209222 A209223 * A209225 A209226 A209227

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 06 2012

Status

approved