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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 (list; table; graph; refs; listen; history; text; internal format)
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

R. H. Hardin, Table of n, a(n) for n = 1..97

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

Adjacent sequences:  A232146 A232147 A232148 * A232150 A232151 A232152

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 19 2013

STATUS

approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)