A197342 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 3,3,2,1,2 for x=0,1,2,3,4

1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 8, 11, 8, 1, 1, 18, 38, 38, 18, 1, 1, 37, 103, 167, 103, 37, 1, 1, 73, 297, 681, 681, 297, 73, 1, 1, 151, 856, 2864, 4005, 2864, 856, 151, 1, 1, 306, 2458, 12148, 25336, 25336, 12148, 2458, 306, 1, 1, 621, 7045, 51480, 159818, 238206

Offset

1,5

Comments

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

Table starts

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

.1...2.....5......8.......18.........37..........73...........151

.1...5....11.....38......103........297.........856..........2458

.1...8....38....167......681.......2864.......12148.........51480

.1..18...103....681.....4005......25336......159818........998934

.1..37...297...2864....25336.....238206.....2218128......20616615

.1..73...856..12148...159818....2218128....30771790.....425710602

.1.151..2458..51480...998934...20616615...425710602....8790242932

.1.306..7045.217587..6247167..191742443..5901225887..181780508322

.1.621.20229.919656.39159520.1785824065.81906890563.3765721431500

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Example

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

Crossrefs

Column 2 is A197211

Sequence in context: A147644 A158188 A176625 * A197217 A197242 A128564

Adjacent sequences: A197339 A197340 A197341 * A197343 A197344 A197345

Keyword

nonn,tabl

Author

R. H. Hardin Oct 13 2011

Status

approved