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A238929
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no element greater than all horizontal neighbors or equal to all vertical neighbors
12
12, 116, 36, 782, 864, 144, 5008, 13090, 13456, 540, 34302, 191086, 611524, 176224, 2052, 238418, 3025468, 25080064, 22636472, 2391340, 7776, 1646042, 48511734, 1176627204, 2531484558, 873385842, 32225410, 29484, 11326068, 773430790
OFFSET
1,1
COMMENTS
Table starts
.....12........116............782...............5008..................34302
.....36........864..........13090.............191086................3025468
....144......13456.........611524...........25080064.............1176627204
....540.....176224.......22636472.........2531484558...........330899764092
...2052....2391340......873385842.......265992385206.........98434762200590
...7776...32225410....33476445936.....27816714540010......29028870095730324
..29484..434883190..1285018853980...2912187511240098....8576772023696061986
.111780.5866480970.49292627209040.304661966072695432.2532114793289297959122
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 3*a(n-1) +3*a(n-2)
k=2: [order 29]
Empirical for row n:
n=1: [linear recurrence of order 18]
EXAMPLE
Some solutions for n=2 k=4
..1..2..2..2..1....0..0..1..1..0....0..0..0..3..3....0..0..2..3..3
..3..3..1..0..0....2..2..2..3..3....1..1..2..2..1....2..2..0..0..0
..1..2..2..3..3....0..1..1..0..0....0..3..3..3..0....0..1..3..3..2
CROSSREFS
Sequence in context: A307820 A154247 A016204 * A166777 A027285 A238930
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 07 2014
STATUS
approved