A263056 - OEIS

%I #4 Oct 08 2015 14:59:13

%S 10,895,18390,498597,10416690,232738767,4880746710,104100946101,

%T 2185333961490,46071984907935,967423105276470,20335923462641157,

%U 427044510774483570,8970161111918918127,188372284635598141590

%N Number of (n+1)X(4+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.

%C Column 4 of A263060.

%H R. H. Hardin, <a href="/A263056/b263056.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=3

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

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

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

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

%Y Cf. A263060.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 08 2015