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A183683 Number of (n+1) X 5 binary arrays with every 2 X 2 subblock nonsingular. 1

%I #9 Apr 04 2018 12:04:20

%S 48,208,832,3472,14144,58448,239424,986128,4047680,16650448,68397888,

%T 281218704,1155579712,4750209360,19522035520,80241997072,329789811520,

%U 1355498530256,5571139502912,22898117877648,94112790021952

%N Number of (n+1) X 5 binary arrays with every 2 X 2 subblock nonsingular.

%C Column 4 of A183688.

%H R. H. Hardin, <a href="/A183683/b183683.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 13*a(n-2) + 16*a(n-3).

%F Empirical g.f.: 16*x*(3 + 13*x + 13*x^2) / (1 - 13*x^2 - 16*x^3). - _Colin Barker_, Apr 04 2018

%e Some solutions for 3 X 5:

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

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

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

%Y Cf. A183688.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011

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Last modified August 30 15:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)