

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


7



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
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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



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



KEYWORD



AUTHOR



STATUS

approved



