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A232149
T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally
9
1, 3, 1, 7, 23, 1, 15, 191, 145, 1, 33, 1299, 3669, 887, 1, 73, 9097, 67725, 67311, 5487, 1, 161, 65837, 1345057, 3409361, 1270511, 33957, 1, 355, 474721, 27888353, 191897041, 177194147, 23931701, 210039, 1, 783, 3410799, 572956549, 11346946019
OFFSET
1,2
COMMENTS
Table starts
.1.......3..........7.............15................33....................73
.1......23........191...........1299..............9097.................65837
.1.....145.......3669..........67725...........1345057..............27888353
.1.....887......67311........3409361.........191897041...........11346946019
.1....5487....1270511......177194147.......28299613241.........4807617578085
.1...33957...23931701.....9181257593.....4162183572673......2029709037695893
.1..210039..450210003...475203378037...611509764410977....855821105743586179
.1.1299219.8472530835.24603676419865.89867078251266793.360977861939388247605
LINKS
FORMULA
Empirical for column k:
k=2: a(n) = 5*a(n-1) +6*a(n-2) +8*a(n-3) +3*a(n-4) -8*a(n-5) -5*a(n-6)
k=3: [order 9]
k=4: [order 32]
k=5: [order 81]
Empirical for row n:
n=1: a(n) = 2*a(n-1) +a(n-3)
n=2: a(n) = 6*a(n-1) +4*a(n-2) +25*a(n-3) +60*a(n-4) -24*a(n-5) -72*a(n-6)
n=3: [order 19]
n=4: [order 58]
EXAMPLE
Some solutions for n=3 k=4
..0..1..1..0....1..2..2..1....0..1..0..2....2..2..2..2....1..1..1..2
..1..1..2..2....2..1..0..1....2..1..2..2....2..2..0..1....1..2..2..1
..2..2..2..1....2..2..1..2....0..2..1..1....2..2..2..2....0..1..0..1
CROSSREFS
Row 1 is A193641
Sequence in context: A036575 A347485 A073676 * A348115 A282422 A282685
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 19 2013
STATUS
approved