A197373 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4

1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 32, 7, 1, 1, 17, 45, 45, 17, 1, 1, 41, 189, 161, 189, 41, 1, 1, 99, 646, 899, 899, 646, 99, 1, 1, 239, 1873, 4023, 7485, 4023, 1873, 239, 1, 1, 577, 6209, 19387, 50831, 50831, 19387, 6209, 577, 1, 1, 1393, 19883, 92169, 355929, 509018

Offset

1,8

Comments

Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's

Table starts

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

.1....1.....3.......7........17.........41...........99............239

.1....3....32......45.......189........646.........1873...........6209

.1....7....45.....161.......899.......4023........19387..........92169

.1...17...189.....899......7485......50831.......355929........2503359

.1...41...646....4023.....50831.....509018......5198997.......54278107

.1...99..1873...19387....355929....5198997.....79831388.....1224953019

.1..239..6209...92169...2503359...54278107...1224953019....27751402365

.1..577.19883..436539..17611057..559939403..18720559109...626740493233

.1.1393.62891.2077281.123747825.5785336959.286695564063.14153165294295

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

Some solutions containing all values 0 to 4 for n=6 k=4
..0..0..1..2....2..1..0..0....0..0..0..0....0..3..0..0....0..3..0..0
..0..1..4..1....1..4..1..0....0..3..3..0....0..0..0..3....3..0..0..3
..0..0..1..0....0..1..0..0....3..0..0..0....0..0..0..0....0..0..3..0
..0..0..0..0....0..0..3..0....0..0..1..0....0..0..1..0....0..0..1..0
..0..0..0..3....0..0..3..0....0..1..4..1....0..1..4..1....0..1..4..1
..0..3..0..0....0..3..0..0....0..0..1..2....0..0..1..2....0..0..1..2

Crossrefs

Column 2 is A001333(n-1). A197368 (col 3), A197369 (col 4).

Sequence in context: A196786 A196746 A196904 * A197529 A165795 A287290

Adjacent sequences: A197370 A197371 A197372 * A197374 A197375 A197376

Keyword

nonn,tabl

Author

R. H. Hardin Oct 14 2011

Status

approved