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A234786 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases 9

%I #4 Dec 30 2013 17:15:46

%S 76,484,484,3084,6660,3084,19652,91916,91916,19652,125228,1269036,

%T 2761748,1269036,125228,797988,17521780,83120724,83120724,17521780,

%U 797988,5085004,241927524,2502596188,5465582060,2502596188,241927524

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases

%C Table starts

%C .......76.........484...........3084..............19652................125228

%C ......484........6660..........91916............1269036..............17521780

%C .....3084.......91916........2761748...........83120724............2502596188

%C ....19652.....1269036.......83120724.........5465582060..........359793857812

%C ...125228....17521780.....2502596188.......359793857812........51845281856108

%C ...797988...241927524....75353928188.....23692759265012......7476894104333052

%C ..5085004..3340355564..2268967605156...1560344155530604...1078605317680077396

%C .32403076.46121153580.68320694237108.102763262525972764.155614824084934672788

%H R. H. Hardin, <a href="/A234786/b234786.txt">Table of n, a(n) for n = 1..199</a>

%F Empirical for column k:

%F k=1: a(n) = 7*a(n-1) -4*a(n-2)

%F k=2: a(n) = 16*a(n-1) -31*a(n-2) +10*a(n-3)

%F k=3: [order 10]

%F k=4: [order 25]

%F k=5: [order 70]

%e Some solutions for n=2 k=4

%e ..2..0..3..1..0....3..1..0..1..3....1..0..2..3..2....2..0..3..0..3

%e ..1..3..2..0..1....1..0..1..0..1....0..2..3..2..0....0..3..0..3..0

%e ..0..1..3..2..3....0..1..2..1..0....1..0..2..0..1....1..0..2..1..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 30 2013

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)