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A188708 Number of 4 X n binary arrays without the pattern 0 0 diagonally or vertically. 1

%I #13 Apr 28 2018 12:49:14

%S 8,49,304,1876,11556,71152,438048,2696784,16602304,102209216,

%T 629233216,3873764352,23848153088,146816985344,903853103104,

%U 5564413613056,34256339608576,210893165924352,1298326906544128,7992922619695104

%N Number of 4 X n binary arrays without the pattern 0 0 diagonally or vertically.

%C Row 4 of A188706.

%H R. H. Hardin, <a href="/A188708/b188708.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 8*a(n-1) - 12*a(n-2) + 4*a(n-3).

%F Empirical g.f.: x*(8 - 15*x + 8*x^2) / (1 - 8*x + 12*x^2 - 4*x^3). - _Colin Barker_, Apr 28 2018

%e Some solutions for 4 X 3:

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

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

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

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

%Y Cf. A188706.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 08 2011

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Last modified March 29 09:59 EDT 2024. Contains 371268 sequences. (Running on oeis4.)