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