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A232431
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 vertically
7
4, 16, 16, 64, 192, 64, 240, 1632, 1632, 240, 988, 14592, 33708, 14592, 988, 3964, 132980, 650696, 650696, 132980, 3964, 15844, 1222708, 14465384, 31127576, 14465384, 1222708, 15844, 63808, 11215820, 313201804, 1595145428, 1595145428
OFFSET
1,1
COMMENTS
Table starts
.......4.........16.............64..............240................988
......16........192...........1632............14592.............132980
......64.......1632..........33708...........650696...........14465384
.....240......14592.........650696.........31127576.........1595145428
.....988.....132980.......14465384.......1595145428.......185475760412
....3964....1222708......313201804......78230147672.....21459885565768
...15844...11215820.....6514702216....3847288654852...2454572593671572
...63808..102219940...139122934752..190729773692400.281383922814721980
..256096..933038584..2976033930696.9418543950518992
.1029152.8540079344.63123128916304
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +10*a(n-2) +11*a(n-3) -a(n-4) -28*a(n-5) -32*a(n-6)
k=2: [order 21]
k=3: [order 55]
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..2..1....0..1..2..0..1....0..0..1..0..0....0..1..0..1..2
..1..0..1..2..0....0..2..0..1..2....1..0..2..2..1....1..2..2..1..0
..2..1..2..1..1....1..2..2..2..1....2..1..1..0..2....0..2..1..2..2
..2..1..0..0..2....0..0..1..1..0....2..1..0..0..1....2..1..0..0..1
CROSSREFS
Sequence in context: A223066 A339570 A223071 * A267974 A267997 A229105
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 23 2013
STATUS
approved