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A183317 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.

%I A183317 #7 Jul 22 2025 08:48:47
%S A183317 13,57,377,1975,11385,61755,343035,1872913,10288475,56225061,
%T A183317 307755285,1681755047,9194060283,50235380141,274514218163,
%U A183317 1499800424044,8194423899045,44768307376625,244584423489933,1336207363455509
%N A183317 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 A183317 Column 5 of A183322
%H A183317 R. H. Hardin, <a href="/A183317/b183317.txt">Table of n, a(n) for n = 1..200</a>
%F A183317 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 A183317 Some solutions for 5X5
%e A183317 ..0..0..1..1..0....1..1..0..0..0....0..0..0..0..0....0..0..0..0..1
%e A183317 ..0..0..1..1..1....1..1..0..0..0....0..0..1..1..1....0..0..0..1..1
%e A183317 ..0..0..0..0..1....0..0..0..0..0....0..0..1..1..1....0..0..0..1..1
%e A183317 ..0..1..1..0..0....0..0..0..1..1....0..1..1..0..1....1..1..0..0..1
%e A183317 ..0..1..1..0..1....0..0..0..1..1....1..1..1..1..1....1..1..0..1..1
%K A183317 nonn
%O A183317 1,1
%A A183317 _R. H. Hardin_ Jan 03 2011