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 A206746 Number of (n+1) X 3 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an equal number of clockwise and counterclockwise edge increases. 1

%I

%S 1888,36384,793152,18037344,415429504,9604042208,222273709440,

%T 5145902199776,119144947541120,2758681735263072,63875017338121856,

%U 1478977179297444448,34244608814587421568,792908424546742896352

%N Number of (n+1) X 3 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an equal number of clockwise and counterclockwise edge increases.

%C Column 2 of A206752.

%H R. H. Hardin, <a href="/A206746/b206746.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 40*a(n-1) -489*a(n-2) +2516*a(n-3) -5247*a(n-4) +276*a(n-5) +15809*a(n-6) -23256*a(n-7) +11000*a(n-8) +184*a(n-9) -832*a(n-10).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 12 2012

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Last modified December 9 00:20 EST 2022. Contains 358698 sequences. (Running on oeis4.)