A196146 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 3,0,4,1,2 for x=0,1,2,3,4.

1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 17, 7, 17, 8, 12, 34, 26, 26, 34, 12, 17, 62, 49, 83, 49, 62, 17, 25, 123, 85, 168, 168, 85, 123, 25, 37, 243, 178, 346, 481, 346, 178, 243, 37, 54, 471, 348, 865, 1031, 1031, 865, 348, 471, 54, 79, 924, 683, 2055, 2781, 2599, 2781, 2055

Offset: 1

Author

R. H. Hardin Sep 28 2011

Keywords

• nonn
• tabl

Comments

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

Table starts

..1...3....4.....5.....8.....12.....17......25.......37.......54........79

..3...5....8....17....34.....62....123.....243......471......924......1817

..4...8....7....26....49.....85....178.....348......683.....1349......2688

..5..17...26....83...168....346....865....2055.....4745....10866.....24967

..8..34...49...168...481...1031...2781....7666....19581....50767....133067

.12..62...85...346..1031...2599...7486...22292....61689...177057....510032

.17.123..178...865..2781...7486..24615...85533...266059...866323...2817802

.25.243..348..2055..7666..22292..85533..330889..1154587..4208560..15450981

.37.471..683..4745.19581..61689.266059.1154587..4431097.17980473..73718035

.54.924.1349.10866.50767.177057.866323.4208560.17980473.82611569.381145071

Examples

			Some solutions for n=6 k=4
.0.1.1.0...0.1.1.0...1.1.0.1...0.1.1.0...1.0.1.1
.1.3.1.0...0.1.1.0...0.1.1.1...0.1.1.0...1.1.1.0
.1.3.1.0...1.3.1.0...0.1.1.0...0.1.3.1...0.1.3.1
.0.1.1.0...1.3.1.0...0.1.1.0...0.1.3.1...0.1.3.1
.0.1.1.0...0.1.1.0...1.1.1.1...1.1.1.0...0.1.1.0
.1.3.1.0...1.3.1.0...1.0.0.1...1.0.1.1...1.3.1.0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..312

Crossrefs

Column 1 is A179070(n+2)