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A235223
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both
9
59, 427, 427, 3037, 8029, 3037, 21693, 145669, 145669, 21693, 154811, 2667851, 6630699, 2667851, 154811, 1105027, 48751703, 306034401, 306034401, 48751703, 1105027, 7887229, 891368897, 14077755879, 35761397619, 14077755879, 891368897
OFFSET
1,1
COMMENTS
Table starts
......59.........427...........3037.............21693................154811
.....427........8029.........145669...........2667851..............48751703
....3037......145669........6630699.........306034401...........14077755879
...21693.....2667851......306034401.......35761397619.........4160135051925
..154811....48751703....14077755879.....4160135051925......1222451522196205
.1105027...891368897...648127851943...484500703182059....359731584557407665
.7887229.16295474229.29833075851519.56410299169343241.105820498283776373809
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 6*a(n-1) +9*a(n-2) -6*a(n-3) -2*a(n-4)
k=2: [order 8]
k=3: [order 21]
k=4: [order 59]
EXAMPLE
Some solutions for n=2 k=4
..0..1..2..0..0....0..0..2..0..2....0..2..0..2..2....0..0..1..1..2
..0..1..1..0..1....0..1..2..1..2....0..1..0..1..0....0..1..2..1..2
..0..2..1..2..1....0..2..1..0..1....0..1..0..2..2....0..1..1..0..1
CROSSREFS
Sequence in context: A244772 A142604 A071771 * A235216 A284754 A125034
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 05 2014
STATUS
approved