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Number of (n+3) X (3+3) 0..1 arrays with each row and column divisible by 15, read as a binary number with top and left being the most significant bits.
1

%I #6 May 03 2021 15:00:45

%S 5,9,17,33,389,1097,3153,9185,102085,475273,1918225,7341601,45546885,

%T 251017801,1184586065,5236907489,26493958853,145025048713,

%U 724192527633,3444405620257,16746027756933,88145795072073,446059692441169

%N Number of (n+3) X (3+3) 0..1 arrays with each row and column divisible by 15, read as a binary number with top and left being the most significant bits.

%C Column 3 of A262457.

%H R. H. Hardin, <a href="/A262452/b262452.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A262457.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 23 2015