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A232839
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, diagonally or antidiagonally
11
4, 16, 16, 216, 312, 64, 710, 6664, 3720, 240, 3648, 67718, 168688, 44832, 988, 25642, 1051216, 4836036, 5659896, 500516, 3964, 139456, 17686598, 202470104, 391884166, 179149960, 5809256, 15844, 683250, 265341016, 8873311108, 45851030856
OFFSET
1,1
COMMENTS
Table starts
.......4...........16.............216...............710...............3648
......16..........312............6664.............67718............1051216
......64.........3720..........168688...........4836036..........202470104
.....240........44832.........5659896.........391884166........45851030856
.....988.......500516.......179149960.......32297599754.....10331973738132
....3964......5809256......5458025808.....2586501812600...2255412540732792
...15844.....71242892....172736599272...210721854104134.504907550840069764
...63808....828231244...5399804456824.17102998113711722
..256096...9665239984.168429228245712
.1029152.115029333056
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 13]
k=3: [order 38]
Empirical for row n:
n=1: [linear recurrence of order 8]
n=2: [order 33]
EXAMPLE
Some solutions for n=3 k=4
..0..2..1..0..0....0..1..2..1..2....0..2..1..0..2....0..1..2..1..2
..0..1..2..1..1....0..1..1..0..0....0..1..0..1..0....0..1..0..1..2
..0..2..2..2..2....0..0..2..2..1....0..0..2..1..2....0..1..1..0..2
..1..0..1..1..0....0..1..0..0..1....0..1..1..2..2....0..2..2..1..0
CROSSREFS
Column 1 is A232425
Sequence in context: A202680 A263568 A009570 * A140299 A119007 A043052
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 30 2013
STATUS
approved