A196456 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 3,0,2,4,1 for x=0,1,2,3,4.

1, 3, 3, 4, 6, 4, 5, 14, 14, 5, 8, 30, 40, 30, 8, 12, 67, 131, 131, 67, 12, 17, 146, 383, 594, 383, 146, 17, 25, 320, 1232, 2930, 2930, 1232, 320, 25, 37, 706, 3966, 15274, 27320, 15274, 3966, 706, 37, 54, 1550, 12314, 76809, 249402, 249402, 76809, 12314, 1550, 54

Offset: 1

Author

R. H. Hardin Oct 02 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 2's, every 3 is next to 3 4's, every 4 is next to 4 1's

Table starts

..1....3......4.......5..........8..........12............17..............25

..3....6.....14......30.........67.........146...........320.............706

..4...14.....40.....131........383........1232..........3966...........12314

..5...30....131.....594.......2930.......15274.........76809..........380093

..8...67....383....2930......27320......249402.......2032584........15952022

.12..146...1232...15274.....249402.....3707781......46887621.......578160718

.17..320...3966...76809....2032584....46887621.....926499600.....17962317556

.25..706..12314..380093...15952022...578160718...17962317556....539621963877

.37.1550..38745.1900745..128543371..7394096617..351103877665..16067939829696

.54.3403.122989.9527317.1060801262.96338727461.6945098996988.486076221745274

Examples

			Some solutions for n=6 k=4
..0..0..1..1....0..1..1..0....1..0..0..0....0..0..0..1....0..0..0..1
..1..1..1..0....2..2..1..0....1..0..0..0....1..1..1..1....0..0..2..2
..1..1..4..1....2..2..1..0....2..2..0..0....2..2..2..0....0..0..2..2
..0..0..1..1....0..1..1..0....2..2..0..0....2..0..2..0....2..2..1..0
..0..2..2..0....0..1..1..1....0..0..0..0....2..2..2..0....2..2..1..1
..1..2..2..1....1..1..0..1....1..1..1..1....0..0..0..0....0..0..0..1
		

Links

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

Crossrefs

Column 1 is A179070(n+2)