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A184766 Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock singular. 1

%I #9 Apr 15 2018 07:57:48

%S 424,8272,108496,1792144,27993232,454774672,7339536784,119205236368,

%T 1934859805840,31437977902480,510797840746384,8300795694017680,

%U 134894624057920144,2192213833325394832,35626484733088902544

%N Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock singular.

%C Column 2 of A184773.

%H R. H. Hardin, <a href="/A184766/b184766.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 20*a(n-1) - 19*a(n-2) - 792*a(n-3) + 1800*a(n-4).

%F Empirical g.f.: 8*x*(53 - 26*x - 6111*x^2 + 14400*x^3) / (1 - 20*x + 19*x^2 + 792*x^3 - 1800*x^4). - _Colin Barker_, Apr 15 2018

%e Some solutions for 5 X 3:

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

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

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

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

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

%Y Cf. A184773.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 21 2011

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)