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A232309 T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically or antidiagonally 8
1, 3, 3, 7, 37, 7, 15, 257, 257, 15, 33, 1915, 5149, 1915, 33, 73, 14223, 107047, 107047, 14223, 73, 161, 105411, 2245709, 6363511, 2245709, 105411, 161, 355, 781873, 46996227, 382995685, 382995685, 46996227, 781873, 355, 783, 5798587, 983668985 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1.........3.............7.................15......................33

....3........37...........257...............1915...................14223

....7.......257..........5149.............107047.................2245709

...15......1915........107047............6363511...............382995685

...33.....14223.......2245709..........382995685.............66287652717

...73....105411......46996227........22952606015..........11412010021707

..161....781873.....983668985......1376103637041........1965722343353835

..355...5798587...20589521605.....82507009197797......338617181188008457

..783..43004317..430963205159...4946765617435461....58328939899371775421

.1727.318935945.9020580137409.296587635447682217.10047560921392694812519

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-3)

k=2: a(n) = 6*a(n-1) +9*a(n-2) +11*a(n-3) -a(n-4) +16*a(n-5)

k=3: [order 15]

k=4: [order 33]

k=5: [order 91]

EXAMPLE

Some solutions for n=3 k=4

..2..1..1..1....2..1..1..2....1..2..0..1....2..0..2..2....1..2..2..1

..1..2..0..2....1..2..1..1....1..1..2..1....2..1..2..1....0..1..2..1

..0..2..1..1....1..0..2..0....1..2..1..2....0..0..1..0....1..2..0..2

CROSSREFS

Column 1 is A193641

Sequence in context: A173321 A191498 A065747 * A273043 A066142 A232459

Adjacent sequences:  A232306 A232307 A232308 * A232310 A232311 A232312

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 22 2013

STATUS

approved

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Last modified August 1 09:36 EDT 2021. Contains 346385 sequences. (Running on oeis4.)