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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

%I

%S 1,3,3,7,37,7,15,257,257,15,33,1915,5149,1915,33,73,14223,107047,

%T 107047,14223,73,161,105411,2245709,6363511,2245709,105411,161,355,

%U 781873,46996227,382995685,382995685,46996227,781873,355,783,5798587,983668985

%N 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

%C Table starts

%C ....1.........3.............7.................15......................33

%C ....3........37...........257...............1915...................14223

%C ....7.......257..........5149.............107047.................2245709

%C ...15......1915........107047............6363511...............382995685

%C ...33.....14223.......2245709..........382995685.............66287652717

%C ...73....105411......46996227........22952606015..........11412010021707

%C ..161....781873.....983668985......1376103637041........1965722343353835

%C ..355...5798587...20589521605.....82507009197797......338617181188008457

%C ..783..43004317..430963205159...4946765617435461....58328939899371775421

%C .1727.318935945.9020580137409.296587635447682217.10047560921392694812519

%H R. H. Hardin, <a href="/A232309/b232309.txt">Table of n, a(n) for n = 1..199</a>

%F Empirical for column k:

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

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

%F k=3: [order 15]

%F k=4: [order 33]

%F k=5: [order 91]

%e Some solutions for n=3 k=4

%e ..2..1..1..1....2..1..1..2....1..2..0..1....2..0..2..2....1..2..2..1

%e ..1..2..0..2....1..2..1..1....1..1..2..1....2..1..2..1....0..1..2..1

%e ..0..2..1..1....1..0..2..0....1..2..1..2....0..0..1..0....1..2..0..2

%Y Column 1 is A193641

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_, Nov 22 2013

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Last modified September 17 11:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)