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