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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..71

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

Adjacent sequences:  A201726 A201727 A201728 * A201730 A201731 A201732

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 04 2011

STATUS

approved

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Last modified February 20 12:58 EST 2020. Contains 332076 sequences. (Running on oeis4.)