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%I A183459 #7 Mar 31 2012 12:35:51
%S A183459 1,3,11,19,59,309,685,2317,11977,30233,100967,487017,1346535,4415577,
%T A183459 20064829,59544721,192599471,834177897,2615131807,8381181591,
%U A183459 34942101463,114237573931,364096901303,1472883720925,4969944976397,15798594698579
%N A183459 Number of (n+4)X6 binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s
%C A183459 Column 2 of A183465
%H A183459 R. H. Hardin, <a href="/A183459/b183459.txt">Table of n, a(n) for n = 1..200</a>
%F A183459 Empirical: a(n)=a(n-1)+105*a(n-3)-98*a(n-4)+41*a(n-5)-3973*a(n-6)+3456*a(n-7)-2741*a(n-8)+67495*a(n-9)-54604*a(n-10)+56639*a(n-11)-562466*a(n-12)+399758*a(n-13)-488175*a(n-14)+2305372*a(n-15)-1241626*a(n-16)+1755381*a(n-17)-4295808*a(n-18)+1219269*a(n-19)-2020866*a(n-20)+2147245*a(n-21)+1490261*a(n-22)-1676610*a(n-23)+1328489*a(n-24)-3225975*a(n-25)+3029252*a(n-26)+663110*a(n-27)+1331185*a(n-28)+665498*a(n-29)-508368*a(n-30)-37612*a(n-31)+137278*a(n-32)+298521*a(n-33)+267000*a(n-34)+388352*a(n-35)+41670*a(n-36)-213886*a(n-37)-41529*a(n-38)+32376*a(n-39)+3548*a(n-40)+796*a(n-41)+1848*a(n-42)+80*a(n-43)-96*a(n-44)
%e A183459 Some solutions for 7X6
%e A183459 ..0..0..0..1..0..0....0..0..0..0..0..0....0..0..1..1..0..0....0..0..1..0..0..0
%e A183459 ..0..0..1..1..1..0....0..0..0..0..0..0....0..1..1..0..1..0....0..1..1..1..0..0
%e A183459 ..0..1..0..0..0..1....0..0..0..0..0..0....1..0..0..0..1..1....1..0..0..0..1..0
%e A183459 ..0..1..1..0..1..1....0..0..0..0..0..0....1..1..0..0..0..1....1..1..0..0..1..1
%e A183459 ..0..1..0..0..0..1....0..0..0..0..0..0....0..1..0..1..1..0....1..0..0..0..1..0
%e A183459 ..0..0..1..1..1..0....0..0..0..0..0..0....0..0..1..1..0..0....0..1..1..1..0..0
%e A183459 ..0..0..0..1..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..1..0..0..0
%K A183459 nonn
%O A183459 1,2
%A A183459 _R. H. Hardin_ Jan 05 2011

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