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A206234 Number of (n+1) X 5 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order. 1

%I

%S 1640,5728,27168,283728,1236432,9042600,95322432,419146392,3065437344,

%T 32314300392,142090622832,1039183255560,10954547828832,48168721135992,

%U 352283123630784,3713591713969992,16329196465097232,119423978910831720

%N Number of (n+1) X 5 0..3 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..3 introduced in row major order.

%C Column 4 of A206238.

%H R. H. Hardin, <a href="/A206234/b206234.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) + 339*a(n-3) - 339*a(n-4) for n>8.

%F Empirical g.f.: 8*x*(205 + 511*x + 2680*x^2 - 37425*x^3 - 54141*x^4 + 67251*x^5 - 86751*x^6 + 107163*x^7) / ((1 - x)*(1 - 339*x^3)). - _Colin Barker_, Jun 14 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Cf. A206238.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 05 2012

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Last modified May 19 18:35 EDT 2022. Contains 353847 sequences. (Running on oeis4.)