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A232589 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal 16
0, 10, 2, 2, 34, 4, 26, 12, 124, 6, 20, 152, 42, 456, 10, 70, 108, 996, 122, 1686, 18, 90, 690, 606, 6406, 332, 6232, 32, 210, 744, 8104, 3002, 41328, 882, 23034, 56, 336, 3232, 7568, 93236, 14398, 266490, 2322, 85130, 98, 674, 4516, 66744, 68072, 1079300 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
...0......10.....2........26.......20...........70..........90.............210
...2......34....12.......152......108..........690.........744............3232
...4.....124....42.......996......606.........8104........7568...........66744
...6.....456...122......6406.....3002........93236.......68072.........1364998
..10....1686...332.....41328....14398......1079300......595304........28339640
..18....6232...882....266490....66950.....12486510.....5045772.......589476500
..32...23034..2322...1718514...306022....144506106....41969054.....12273587770
..56...85130..6092..11082034..1382638...1672314806...344123498....255585490674
..98..314626.15962..71463916..6200520..19353375198..2791211292...5322596390316
.172.1162804.41802.460844060.27671244.223972627480.22459482618.110844512072980
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) -a(n-2) +a(n-3)
k=2: a(n) = 4*a(n-1) -a(n-2) -a(n-3) +2*a(n-4)
k=3: a(n) = 4*a(n-1) -4*a(n-2) +a(n-3)
k=4: a(n) = 5*a(n-1) +9*a(n-2) +2*a(n-3) +a(n-4) +2*a(n-5)
k=5: [order 14]
k=6: [order 23] for n>27
k=7: [order 44] for n>45
Empirical for row n:
n=1: a(n) = -a(n-1) +2*a(n-2) +4*a(n-3) +3*a(n-4) +a(n-5)
n=2: [order 9] for n>10
n=3: [order 24] for n>26
n=4: [order 49] for n>54
EXAMPLE
Some solutions for n=5 k=4
..2..1..2..1..0....2..1..2..1..0....2..1..0..1..2....0..1..2..1..0
..0..1..2..1..0....0..1..0..1..2....2..1..0..1..2....2..1..0..1..2
..2..1..2..1..2....0..1..2..1..2....0..1..2..1..0....0..1..2..1..2
..0..1..2..1..0....0..1..0..1..2....2..1..0..1..2....0..1..0..1..0
..2..1..2..1..2....0..1..0..1..0....0..1..0..1..0....0..1..2..1..2
..0..1..0..1..0....2..1..2..1..2....2..1..2..1..0....2..1..0..1..0
CROSSREFS
Sequence in context: A351306 A265994 A201278 * A010175 A363839 A323421
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 26 2013
STATUS
approved

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Last modified April 22 01:34 EDT 2024. Contains 371887 sequences. (Running on oeis4.)