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A183794 1/4 the number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock having sum 6. 1

%I

%S 53,706,9395,125050,1664363,22152262,294840155,3924240130,52230527579,

%T 695173613662,9252564864971,123149031156442,1639078901387051,

%U 21815678294545462,290360530538406779,3864616839260883250

%N 1/4 the number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock having sum 6.

%C Column 1 of A183802.

%H R. H. Hardin, <a href="/A183794/b183794.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 6*a(n-1) + 81*a(n-2) + 206*a(n-3) + 144*a(n-4).

%F Empirical g.f.: x*(53 + 388*x + 866*x^2 + 576*x^3) / (1 - 6*x - 81*x^2 - 206*x^3 - 144*x^4). - _Colin Barker_, Apr 04 2018

%e Some solutions for 3 X 2:

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

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

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

%Y Cf. A183802.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 07 2011

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Last modified May 25 09:45 EDT 2022. Contains 354066 sequences. (Running on oeis4.)