A197250 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 0,0,1,1,1 for x=0,1,2,3,4.

1, 2, 2, 1, 4, 1, 1, 8, 8, 1, 3, 16, 3, 16, 3, 3, 40, 53, 53, 40, 3, 2, 80, 110, 275, 110, 80, 2, 4, 192, 227, 780, 780, 227, 192, 4, 6, 400, 1035, 5713, 5062, 5713, 1035, 400, 6, 5, 936, 2004, 16773, 31276, 31276, 16773, 2004, 936, 5, 6, 1984, 7529, 98870, 213912, 405065

Offset: 1

Author

R. H. Hardin Oct 12 2011

Keywords

• nonn
• tabl

Comments

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

Table starts

.1....2.....1.......1........3..........3............2.............4

.2....4.....8......16.......40.........80..........192...........400

.1....8.....3......53......110........227.........1035..........2004

.1...16....53.....275......780.......5713........16773.........98870

.3...40...110.....780.....5062......31276.......213912.......1244680

.3...80...227....5713....31276.....405065......3264225......29975706

.2..192..1035...16773...213912....3264225.....48703999.....692974749

.4..400..2004...98870..1244680...29975706....692974749...11304892092

.6..936..7529..393913..8149652..324191969...9613268927..308547360234

.5.1984.20633.1869033.54813300.2687575073.144634486646.5580867056186

Examples

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

Links

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

Crossrefs

Column 1 is A017817(n+5)