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Number of (5+2)X(n+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits.
1

%I #4 Sep 30 2015 11:04:41

%S 19,361,1345,8605,135595,3051121,31840777,475175089,7929763795,

%T 150668328169,2326985790673,39746065869181,690182655459499,

%U 12460277987364721,213488928651534985,3766549018888748593

%N Number of (5+2)X(n+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits.

%C Row 5 of A262759.

%H R. H. Hardin, <a href="/A262762/b262762.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%Y Cf. A262759.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 30 2015