A263054 - OEIS

%I #8 Jan 01 2019 08:43:52

%S 2,33,142,895,4314,22921,113486,577071,2877562,14455993,72225582,

%T 361607935,1807659674,9041669481,45205690126,226052092111,

%U 1130241870522,5651375017753,28256745002222,141284885366175,706423516399834

%N Number of (n+1) X (2+1) 0..1 arrays with each row and column not divisible by 3, read as a binary number with top and left being the most significant bits.

%H R. H. Hardin, <a href="/A263054/b263054.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) + 12*a(n-2) - 60*a(n-3) - 39*a(n-4) + 195*a(n-5) + 28*a(n-6) - 140*a(n-7).

%F Empirical g.f.: x*(2 + 23*x - 47*x^2 - 91*x^3 + 193*x^4 + 28*x^5 - 140*x^6) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 + 2*x)*(1 - 5*x)*(1 - 7*x^2)). - _Colin Barker_, Jan 01 2019

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 2 of A263060.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 08 2015