A197805 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 4,2,1,0,1 for x=0,1,2,3,4

1, 1, 1, 2, 5, 2, 3, 16, 16, 3, 4, 47, 102, 47, 4, 6, 154, 596, 596, 154, 6, 9, 496, 3713, 7185, 3713, 496, 9, 13, 1601, 22742, 84258, 84258, 22742, 1601, 13, 19, 5183, 139212, 1003304, 1944779, 1003304, 139212, 5183, 19, 28, 16777, 853186, 12108247

Offset

1,4

Comments

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

Table starts

..1.....1........2...........3..............4................6

..1.....5.......16..........47............154..............496

..2....16......102.........596...........3713............22742

..3....47......596........7185..........84258..........1003304

..4...154.....3713.......84258........1944779.........45619023

..6...496....22742.....1003304.......45619023.......2076384112

..9..1601...139212....12108247.....1067467454......94343594548

.13..5183...853186...145415587....24842719624....4281509896358

.19.16777..5231300..1741678883...579640352124..194608470264250

.28.54298.32071177.20881671948.13530437284867.8843165356246981

Links

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

Example

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

Crossrefs

Column 1 is A000930

Column 2 is A197201

Sequence in context: A085220 A085219 A197207 * A334754 A187788 A085072

Adjacent sequences: A197802 A197803 A197804 * A197806 A197807 A197808

Keyword

nonn,tabl

Author

R. H. Hardin Oct 18 2011

Status

approved