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A210349 1/4 the number of (n+1)X3 0..3 arrays with every 2X2 subblock having one, two or three distinct clockwise edge differences 1

%I

%S 431,13566,423694,13288986,416960476,13085817650,410707536246,

%T 12890620403588,404592571598972,12698808571519484,398573456240825396,

%U 12509901116822794985,392644408257072821693,12323809287572710045051

%N 1/4 the number of (n+1)X3 0..3 arrays with every 2X2 subblock having one, two or three distinct clockwise edge differences

%C Column 2 of A210355

%H R. H. Hardin, <a href="/A210349/b210349.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 55*a(n-1) -890*a(n-2) +4374*a(n-3) +14813*a(n-4) -179200*a(n-5) +198626*a(n-6) +1718220*a(n-7) -3858631*a(n-8) -4143905*a(n-9) +14290154*a(n-10) +1274736*a(n-11) -19132266*a(n-12) +4460692*a(n-13) +9184880*a(n-14) -3036040*a(n-15) -1419448*a(n-16) +517280*a(n-17) +1792*a(n-18) -4096*a(n-19) -128*a(n-20)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 20 2012

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Last modified October 19 11:01 EDT 2021. Contains 348079 sequences. (Running on oeis4.)