A197503 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 2,3,1,1,0 for x=0,1,2,3,4

1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 9, 22, 9, 1, 1, 19, 53, 53, 19, 1, 1, 45, 162, 181, 162, 45, 1, 1, 73, 526, 967, 967, 526, 73, 1, 1, 147, 1605, 4447, 7845, 4447, 1605, 147, 1, 1, 291, 5011, 20411, 58434, 58434, 20411, 5011, 291, 1, 1, 539, 15073, 99367, 462825, 755338

Offset

1,8

Comments

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

Table starts

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

.1...1.....9.......9........19..........45............73.............147

.1...9....22......53.......162.........526..........1605............5011

.1...9....53.....181.......967........4447.........20411...........99367

.1..19...162.....967......7845.......58434........462825.........3560859

.1..45...526....4447.....58434......755338.......9343735.......115041017

.1..73..1605...20411....462825.....9343735.....182232300......3721024215

.1.147..5011...99367...3560859...115041017....3721024215....122868970059

.1.291.15073..473509..27478512..1444324039...75873083886...4026169282135

.1.539.46562.2249979.213540131.18148792772.1533554674879.132420058875113

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Sequence in context: A076115 A014726 A277069 * A197401 A197350 A197364

Adjacent sequences: A197500 A197501 A197502 * A197504 A197505 A197506

Keyword

nonn,tabl

Author

R. H. Hardin Oct 15 2011

Status

approved