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A232309
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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
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8
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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
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OFFSET
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1,2
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..199
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FORMULA
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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]
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EXAMPLE
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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
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CROSSREFS
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Column 1 is A193641
Sequence in context: A173321 A191498 A065747 * A273043 A066142 A232459
Adjacent sequences: A232306 A232307 A232308 * A232310 A232311 A232312
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Nov 22 2013
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STATUS
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approved
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