A197896 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 3,3,0,1,1 for x=0,1,2,3,4

1, 1, 1, 2, 7, 2, 3, 12, 12, 3, 5, 31, 50, 31, 5, 8, 79, 180, 180, 79, 8, 13, 186, 745, 1141, 745, 186, 13, 21, 465, 3046, 7589, 7589, 3046, 465, 21, 34, 1131, 12531, 46988, 82343, 46988, 12531, 1131, 34, 55, 2776, 52188, 307547, 821491, 821491, 307547, 52188

Offset

1,4

Comments

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

Table starts

..1....1......2........3..........5.............8..............13

..1....7.....12.......31.........79...........186.............465

..2...12.....50......180........745..........3046...........12531

..3...31....180.....1141.......7589.........46988..........307547

..5...79....745.....7589......82343........821491.........8668800

..8..186...3046....46988.....821491......13332946.......222339185

.13..465..12531...307547....8668800.....222339185......5912587870

.21.1131..52188..2021039...90607221....3713421692....157857167179

.34.2776.217004.13090390..939007687...61711530462...4183451423645

.55.6803.902417.85028181.9757058229.1027520573185.111166193975420

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
..2..0..0..0....0..1..0..0....0..2..2..0....1..3..1..0....0..1..3..1
..0..0..1..0....2..3..1..0....0..0..0..0....0..1..4..1....2..0..1..0
..0..1..3..2....0..1..4..1....1..2..0..2....2..0..1..3....1..2..0..1
..1..4..1..0....0..0..1..3....3..1..0..2....2..0..1..1....3..1..1..3
..3..1..0..0....0..1..0..1....1..4..1..0....0..1..3..1....1..1..4..1
..1..0..0..0....1..3..1..0....0..1..3..1....0..0..2..0....1..3..1..0

Crossrefs

Column 1 is A000045

Column 2 is A197229

Sequence in context: A197307 A196974 A197561 * A198013 A198155 A197235

Adjacent sequences: A197893 A197894 A197895 * A197897 A197898 A197899

Keyword

nonn,tabl

Author

R. H. Hardin Oct 19 2011

Status

approved