login
A201729
T(n,k)=Number of nXk 0..4 arrays with rows and columns lexicographically nondecreasing and no element equal to the number of horizontal and vertical neighbors equal to itself
9
4, 10, 10, 20, 90, 20, 35, 631, 631, 35, 56, 3567, 19827, 3567, 56, 83, 16493, 499474, 499474, 16493, 83, 116, 64018, 9603489, 56836178, 9603489, 64018, 116, 155, 213013, 144262866, 4720850001, 4720850001, 144262866, 213013, 155, 200, 621757
OFFSET
1,1
COMMENTS
Table starts
...4......10...........20..............35.................56.................83
..10......90..........631............3567..............16493..............64018
..20.....631........19827..........499474............9603489..........144262866
..35....3567.......499474........56836178.........4720850001.......299927801278
..56...16493......9603489......4720850001......1692459595971....463016032498283
..83...64018....144262866....299927801278....463016032498283.545947219624185244
.116..213013...1757594146..15249209002599.100953294298736546
.155..621757..17915547783.640855702702745
.200.1626046.156619023957
.251.3878550
LINKS
EXAMPLE
Some solutions for n=3 k=3
..2..3..4....0..0..1....1..3..4....0..3..3....0..0..3....0..0..3....0..2..4
..3..0..2....0..4..4....2..0..0....0..4..4....0..1..3....0..2..4....0..3..2
..4..0..0....1..3..1....3..1..0....3..2..4....3..3..2....1..2..4....4..2..1
CROSSREFS
Sequence in context: A278727 A184129 A202581 * A310337 A201836 A201216
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 04 2011
STATUS
approved