A197409 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 3,0,1,1,1 for x=0,1,2,3,4.

1, 3, 3, 4, 9, 4, 5, 20, 20, 5, 9, 71, 60, 71, 9, 16, 227, 358, 358, 227, 16, 25, 664, 1626, 3305, 1626, 664, 25, 39, 2107, 7232, 25621, 25621, 7232, 2107, 39, 64, 6675, 34717, 199384, 356211, 199384, 34717, 6675, 64, 105, 20696, 160988, 1634731, 4499426

Offset: 1

Author

R. H. Hardin Oct 14 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 1's, every 3 is next to 3 1's, every 4 is next to 4 1's

Table starts

...1.....3.......4.........5............9.............16...............25

...3.....9......20........71..........227............664.............2107

...4....20......60.......358.........1626...........7232............34717

...5....71.....358......3305........25621.........199384..........1634731

...9...227....1626.....25621.......356211........4499426.........60334353

..16...664....7232....199384......4499426.......93153650.......2065093081

..25..2107...34717...1634731.....60334353.....2065093081......77683473682

..39..6675..160988..13013551....801294395....45796265386....2861267797023

..64.20696..748843.103260478..10631272297..1003308210971..104224692369107

.105.65029.3514426.825286477.141478252511.22026879283832.3821001855576417

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Column 1 is A195971