

A197457


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


7



1, 1, 1, 2, 7, 2, 3, 10, 10, 3, 5, 23, 31, 23, 5, 8, 57, 84, 84, 57, 8, 13, 122, 290, 583, 290, 122, 13, 21, 275, 923, 2233, 2233, 923, 275, 21, 34, 623, 2887, 10758, 15825, 10758, 2887, 623, 34, 55, 1394, 9216, 53337, 104318, 104318, 53337, 9216, 1394, 55, 89, 3133
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



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 2's, every 4 is next to 4 2's
Table starts
..1....1.....2.......3.........5...........8...........13.............21
..1....7....10......23........57.........122..........275............623
..2...10....31......84.......290.........923.........2887...........9216
..3...23....84.....583......2233.......10758........53337.........252125
..5...57...290....2233.....15825......104318.......738363........5142371
..8..122...923...10758....104318.....1097175.....11014567......112906556
.13..275..2887...53337....738363....11014567....168397471.....2499153985
.21..623..9216..252125...5142371...112906556...2499153985....55114740895
.34.1394.29288.1209824..35673015..1151692226..37543948067..1208430308424
.55.3133.92868.5768661.248507899.11746179526.563650708913.26627943671581


LINKS



EXAMPLE

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


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



