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A262330 Number of (n+1)X(6+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits. 1

%I

%S 43,261,10935,252097,10789339,394241389,16940254423,699094613961,

%T 30056993215803,1279198648576981,55003871225837815,

%U 2359070696262035857,101439297012081117979,4359072407628680510589,187439773845177573589143

%N Number of (n+1)X(6+1) 0..1 arrays with each row and column divisible by 3, read as a binary number with top and left being the most significant bits.

%C Column 6 of A262332.

%H R. H. Hardin, <a href="/A262330/b262330.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-1) +793*a(n-2) -34099*a(n-3) -191667*a(n-4) +8241681*a(n-5) +20015927*a(n-6) -860684861*a(n-7) -980560940*a(n-8) +42164120420*a(n-9) +22309346640*a(n-10) -959301905520*a(n-11) -209959392832*a(n-12) +9028253891776*a(n-13) +540712883200*a(n-14) -23250653977600*a(n-15)

%e Some solutions for n=3

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

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

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

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

%Y Cf. A262332.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 18 2015

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Last modified August 11 10:15 EDT 2022. Contains 356065 sequences. (Running on oeis4.)