A203277 T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor

1, 1, 1, 1, 36, 1, 1, 861, 861, 1, 1, 12783, 107968, 12783, 1, 1, 165993, 7849844, 7849844, 165993, 1, 1, 2229009, 525063657, 2590250609, 525063657, 2229009, 1, 1, 31121459, 38204132307, 805342647391, 805342647391, 38204132307, 31121459, 1, 1

Offset

1,5

Comments

Table starts

.1.........1...............1....................1.........................1

.1........36.............861................12783....................165993

.1.......861..........107968..............7849844.................525063657

.1.....12783.........7849844...........2590250609..............805342647391

.1....165993.......525063657.........805342647391..........1126396980640358

.1...2229009.....38204132307......273475278673606.......1710751676209296372

.1..31121459...2854004857534....94164551870236956....2658493631378011835550

.1.435195718.209528571255971.31840186365984384473.4082511881983390614103873

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

Some solutions for n=4 k=3
..4..5..2....4..5..2....0..0..4....2..2..0....5..0..4....5..4..1....1..5..1
..2..5..2....4..5..2....3..1..4....1..2..3....5..4..4....5..4..4....5..5..5
..1..5..2....5..5..2....3..5..4....5..4..3....5..0..4....5..0..4....4..3..2
..5..5..5....3..5..5....4..5..5....5..5..3....5..5..0....5..5..0....4..4..1

Crossrefs

Sequence in context: A022071 A181635 A174673 * A156645 A330084 A350385

Adjacent sequences: A203274 A203275 A203276 * A203278 A203279 A203280

Keyword

nonn,tabl

Author

R. H. Hardin Dec 31 2011

Status

approved