login
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
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
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: A191498 A065747 A363398 * A273043 A066142 A232459
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 22 2013
STATUS
approved