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A210159 Number of (n+1)X3 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order 1

%I #5 Mar 31 2012 12:37:32

%S 148,6977,351482,17864271,908980864,46257884813,2354098130302,

%T 119802073302399,6096832015875652,310273110797149253,

%U 15790069903296057458,803570464268447301967,40894403574255214909720

%N Number of (n+1)X3 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order

%C Column 2 of A210165

%H R. H. Hardin, <a href="/A210159/b210159.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 55*a(n-1) -186*a(n-2) -1230*a(n-3) +2723*a(n-4) +159*a(n-5) -1604*a(n-6) +468*a(n-7)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 18 2012

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Last modified August 24 11:44 EDT 2024. Contains 375410 sequences. (Running on oeis4.)