

A196343


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


6



1, 1, 1, 2, 7, 2, 3, 10, 10, 3, 5, 23, 30, 23, 5, 8, 57, 88, 88, 57, 8, 13, 122, 299, 495, 299, 122, 13, 21, 275, 978, 2223, 2223, 978, 275, 21, 34, 623, 3132, 10854, 16949, 10854, 3132, 623, 34, 55, 1394, 10106, 53647, 119487, 119487, 53647, 10106, 1394, 55, 89
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OFFSET

1,4


COMMENTS

Every 0 is next to 0 1's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 3's
Table starts
..1....1......2.......3.........5...........8...........13.............21
..1....7.....10......23........57.........122..........275............623
..2...10.....30......88.......299.........978.........3132..........10106
..3...23.....88.....495......2223.......10854........53647.........262013
..5...57....299....2223.....16949......119487.......869434........6327405
..8..122....978...10854....119487.....1300388.....13932416......150048836
.13..275...3132...53647....869434....13932416....224664284.....3596759057
.21..623..10106..262013...6327405...150048836...3596759057....86035336419
.34.1394..32721.1280764..45825170..1620592121..57811730338..2056052205956
.55.3133.105779.6254945.332648911.17491804071.929821862056.49191557937439


LINKS



EXAMPLE

Some solutions for n=6 k=4
..0..2..0..0....2..0..0..0....0..2..0..0....0..0..0..0....2..0..0..0
..0..2..2..0....0..0..2..2....0..2..2..2....0..0..0..0....0..2..2..2
..0..0..2..0....2..3..2..0....0..0..0..0....0..2..2..2....2..2..0..0
..0..0..2..0....0..2..0..0....2..2..2..0....0..2..0..0....0..0..0..2
..0..2..2..0....2..2..0..0....0..0..2..0....0..2..2..0....0..0..0..2
..0..2..0..2....0..0..0..0....0..0..2..0....0..0..2..0....0..0..0..0


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



