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A262423 Number of (4+1)X(n+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.

%I A262423 #4 Sep 22 2015 09:36:11
%S A262423 21,48,1701,18228,428301,7577424,163388421,3287265300,69481709901,
%T A262423 1443547193328,30363542104581,635919555126708,13359727300650381,
%U A262423 280364385485387664,5888252348126720901,123632237885054793300
%N A262423 Number of (4+1)X(n+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.
%C A262423 Row 4 of A262420.
%H A262423 R. H. Hardin, <a href="/A262423/b262423.txt">Table of n, a(n) for n = 1..210</a>
%F A262423 Empirical: a(n) = 21*a(n-1) +189*a(n-2) -3969*a(n-3) -10719*a(n-4) +225099*a(n-5) +250803*a(n-6) -5266863*a(n-7) -2527200*a(n-8) +53071200*a(n-9) +9062928*a(n-10) -190321488*a(n-11)
%e A262423 Some solutions for n=4
%e A262423 ..0..0..1..1..0....1..0..1..0..1....1..1..0..0..0....1..0..0..1..0
%e A262423 ..0..0..0..0..0....0..1..0..0..1....0..0..0..1..1....1..0..0..1..0
%e A262423 ..1..1..0..0..0....1..1..0..1..1....0..0..1..1..0....1..0..0..1..0
%e A262423 ..0..1..0..0..1....1..1..0..0..0....0..0..1..1..0....0..1..0..0..1
%e A262423 ..0..1..1..0..0....1..0..0..1..0....0..1..1..0..0....0..0..1..1..0
%Y A262423 Cf. A262420.
%K A262423 nonn
%O A262423 1,1
%A A262423 _R. H. Hardin_, Sep 22 2015