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%I #4 Sep 17 2015 08:18:55
%S 7,49,149,585,3639,23977,129481,762529,4977703,33121201,212297621,
%T 1392648681,9394847463,63791220457,431043859993,2933293326289,
%U 20157021722983,138871827073201,957160775849621,6614231267870601
%N Number of (n+2)X(3+2) 0..1 arrays with each row and column divisible by 5, read as a binary number with top and left being the most significant bits.
%C Column 3 of A262274.
%H R. H. Hardin, <a href="/A262269/b262269.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +2438*a(n-4) -17066*a(n-5) -2193828*a(n-8) +15356796*a(n-9) +1012143986*a(n-12) -7085007902*a(n-13) -274571219965*a(n-16) +1921998539755*a(n-17) +46824231026412*a(n-20) -327769617184884*a(n-21) -5180403909036816*a(n-24) +36262827363257712*a(n-25) +375348133713055716*a(n-28) -2627436935991390012*a(n-29) -17669998041050990187*a(n-32) +123689986287356931309*a(n-33) +526338150774349790590*a(n-36) -3684367055420448534130*a(n-37) -9412502562578384921036*a(n-40) +65887517938048694447252*a(n-41) +91478334812736629058378*a(n-44) -640348343689156403408646*a(n-45) -389202483948737967210263*a(n-48) +2724417387641165770471841*a(n-49) +306627613331565950494576*a(n-52) -2146393293320961653462032*a(n-53)
%e Some solutions for n=4
%e ..0..0..0..0..0....0..0..0..0..0....1..1..1..1..0....1..1..1..1..0
%e ..0..0..1..0..1....0..0..0..0..0....0..1..0..1..0....1..1..1..1..0
%e ..0..0..0..0..0....1..0..1..0..0....1..0..1..0..0....0..0..0..0..0
%e ..0..1..1..1..1....0..0..0..0..0....1..1..0..0..1....1..1..1..1..0
%e ..0..0..0..0..0....1..0..1..0..0....0..1..0..1..0....1..1..1..1..0
%e ..0..1..0..1..0....0..0..0..0..0....1..1..0..0..1....1..1..1..1..0
%Y Cf. A262274.
%K nonn
%O 1,1
%A _R. H. Hardin_, Sep 17 2015
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