A183317 - OEIS

%I #5 Mar 31 2012 12:35:50

%S 13,57,377,1975,11385,61755,343035,1872913,10288475,56225061,

%T 307755285,1681755047,9194060283,50235380141,274514218163,

%U 1499800424044,8194423899045,44768307376625,244584423489933,1336207363455509

%N Number of nX5 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it

%C Column 5 of A183322

%H R. H. Hardin, <a href="/A183317/b183317.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=a(n-1)+61*a(n-2)-29*a(n-3)-1491*a(n-4)+297*a(n-5)+19701*a(n-6)-1185*a(n-7)-159127*a(n-8)-819*a(n-9)+836109*a(n-10)+27171*a(n-11)-2951431*a(n-12)-125221*a(n-13)+7095801*a(n-14)+329665*a(n-15)-11617381*a(n-16)-586437*a(n-17)+12793417*a(n-18)+723297*a(n-19)-9246383*a(n-20)-590475*a(n-21)+4223841*a(n-22)+294743*a(n-23)-1155939*a(n-24)-81687*a(n-25)+173913*a(n-26)+10715*a(n-27)-12215*a(n-28)-423*a(n-29)+281*a(n-30)-a(n-31)-a(n-32)

%e Some solutions for 5X5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 03 2011