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%I #4 Jan 10 2018 06:52:49
%S 0,6,20,109,1042,7302,60427,481401,3880101,31362126,253173482,
%T 2046556093,16538800168,133678574420,1080493649567,8733450448870,
%U 70591761501494,570587091826725,4612015763383176,37278608281287313,301320519515942968
%N Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 4 of A297978.
%H R. H. Hardin, <a href="/A297974/b297974.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) +32*a(n-2) -140*a(n-3) -598*a(n-4) +1159*a(n-5) +5304*a(n-6) -4333*a(n-7) -25781*a(n-8) +7663*a(n-9) +77338*a(n-10) -9186*a(n-11) -146950*a(n-12) +40670*a(n-13) +162366*a(n-14) -251269*a(n-15) -5153*a(n-16) +716034*a(n-17) -170543*a(n-18) -1303137*a(n-19) +206096*a(n-20) +1281221*a(n-21) +682644*a(n-22) -1324101*a(n-23) -1132741*a(n-24) +1131408*a(n-25) +172656*a(n-26) +40049*a(n-27) -568390*a(n-28) -239758*a(n-29) +645066*a(n-30) -100658*a(n-31) -51639*a(n-32) +38776*a(n-33) +33836*a(n-34) +41437*a(n-35) -48047*a(n-36) -59151*a(n-37) +9515*a(n-38) +46874*a(n-39) -834*a(n-40) -25695*a(n-41) +1922*a(n-42) +7078*a(n-43) -1180*a(n-44) -1468*a(n-45) +204*a(n-46) for n>49
%e Some solutions for n=7
%e ..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..1..1
%e ..0..0..1..1. .0..1..0..1. .0..1..0..1. .0..1..0..1. .0..0..1..1
%e ..0..1..0..0. .1..1..0..0. .0..0..1..0. .1..1..1..1. .0..1..0..0
%e ..0..1..1..0. .1..0..0..1. .0..1..1..0. .1..0..1..0. .1..1..1..0
%e ..0..1..1..0. .0..0..1..1. .0..1..1..0. .0..1..0..0. .0..1..1..1
%e ..0..1..1..0. .1..0..1..0. .0..0..1..0. .0..1..1..0. .0..0..0..1
%e ..0..0..0..0. .1..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1
%Y Cf. A297978.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 10 2018
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