A208420 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically

2, 4, 4, 6, 16, 6, 10, 36, 36, 9, 16, 100, 102, 81, 13, 26, 256, 378, 261, 169, 18, 42, 676, 1260, 1269, 611, 324, 25, 68, 1764, 4374, 5139, 3835, 1278, 625, 34, 110, 4624, 14946, 22509, 18395, 10098, 2625, 1156, 46, 178, 12100, 51384, 95265, 100113, 55404, 26375

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..102...378...1260....4374....14946.....51384.....176238......605022

..9...81..261..1269...5139...22509....95265....409239....1746639.....7475751

.13..169..611..3835..18395..100113...512525...2702193...14044303....73505289

.18..324.1278.10098..55404..365094..2187162..13759164...84389022...524422458

.25..625.2625.26375.161975.1297475..8948825..67061525..479579725..3521095775

.34.1156.5134.65178.440436.4270706.33334858.295643872.2428615750.20882937190

Links

R. H. Hardin, Table of n, a(n) for n = 1..928

Example

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

Crossrefs

Column 1 is A171861(n+1)

Column 2 is A207025

Column 3 is A207903

Row 1 is A006355(n+2)

Row 2 is A206981

Row 3 is A060521

Sequence in context: A207774 A207661 A208555 * A208028 A208369 A207717

Adjacent sequences: A208417 A208418 A208419 * A208421 A208422 A208423

Keyword

nonn,tabl

Author

R. H. Hardin Feb 26 2012

Status

approved