A197648 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 4,2,2,0,2 for x=0,1,2,3,4

1, 1, 1, 1, 2, 1, 1, 11, 11, 1, 1, 31, 82, 31, 1, 1, 66, 342, 342, 66, 1, 1, 185, 1649, 2910, 1649, 185, 1, 1, 595, 9007, 25273, 25273, 9007, 595, 1, 1, 1760, 49381, 251972, 407810, 251972, 49381, 1760, 1, 1, 4857, 256485, 2579814, 7296769, 7296769, 2579814

Offset

1,5

Comments

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

Table starts

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

.1.....2......11.........31...........66.............185................595

.1....11......82........342.........1649............9007..............49381

.1....31.....342.......2910........25273..........251972............2579814

.1....66....1649......25273.......407810.........7296769..........132750533

.1...185....9007.....251972......7296769.......243912221.........8248011722

.1...595...49381....2579814....132750533......8248011722.......520354155777

.1..1760..256485...24550379...2314131736....265348341492.....31036479268872

.1..4857.1303838..230860577..40063929560...8500602391949...1833924613834652

.1.13817.6775152.2228487362.703264936092.277030071745596.110108685283374089

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

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

Crossrefs

Sequence in context: A234013 A158202 A176307 * A066094 A160625 A324188

Adjacent sequences: A197645 A197646 A197647 * A197649 A197650 A197651

Keyword

nonn,tabl

Author

R. H. Hardin Oct 16 2011

Status

approved