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A206206 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases 9

%I

%S 256,480,480,1768,1060,1768,7388,3008,3008,7388,29724,9464,5136,9464,

%T 29724,117084,22576,11832,11832,22576,117084,468968,67968,27400,32920,

%U 27400,67968,468968,1878808,192808,60800,70168,70168,60800,192808

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases

%C Table starts

%C .....256....480...1768...7388...29724..117084..468968..1878808..7493008

%C .....480...1060...3008...9464...22576...67968..192808...496088..1475768

%C ....1768...3008...5136..11832...27400...60800..145208...346080...775944

%C ....7388...9464..11832..32920...70168..109720..337896...728704..1137208

%C ...29724..22576..27400..70168..118936..236488..713408..1226384..2475328

%C ..117084..67968..60800.109720..236488..484704.1080648..2383520..5023520

%C ..468968.192808.145208.337896..713408.1080648.3270240..7008160.10936160

%C .1878808.496088.346080.728704.1226384.2383520.7008160.11893600.23648800

%H R. H. Hardin, <a href="/A206206/b206206.txt">Table of n, a(n) for n = 1..759</a>

%F Empirical for column k:

%F k=1: a(n) = 3*a(n-1) +17*a(n-3) -5*a(n-4) +2*a(n-5) for n>6

%F k=2: a(n) = 3*a(n-2) +14*a(n-3) -3*a(n-4) +a(n-5) +a(n-6) +a(n-7) for n>9

%F k=3: a(n) = 10*a(n-3) +5*a(n-4) +a(n-5) +2*a(n-8) +2*a(n-10) for n>18

%F k=4: a(n) = 10*a(n-3) +a(n-9) for n>18

%F k=5: a(n) = 10*a(n-3) for n>15

%F k=6: a(n) = 10*a(n-3) for n>16

%F k=7: a(n) = 10*a(n-3) for n>17

%F apparently a(n) = 10*a(n-3) for k>4 and n>k+5

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 04 2012

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Last modified October 25 11:29 EDT 2021. Contains 348251 sequences. (Running on oeis4.)