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%I #4 Jan 13 2018 10:52:37
%S 0,5,13,15,233,1055,5782,36225,205348,1209336,7104221,41593299,
%T 244217670,1432727023,8406086075,49326923443,289428447489,
%U 1698283766510,9965061067996,58472010523076,343097200672431,2013196295930588
%N Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
%C Column 4 of A298133.
%H R. H. Hardin, <a href="/A298129/b298129.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +18*a(n-2) +25*a(n-3) -115*a(n-4) -418*a(n-5) -362*a(n-6) +1223*a(n-7) +4240*a(n-8) +2290*a(n-9) -9359*a(n-10) -16112*a(n-11) +3825*a(n-12) +30881*a(n-13) +10497*a(n-14) -37030*a(n-15) -21624*a(n-16) +40949*a(n-17) +30128*a(n-18) -52580*a(n-19) -29839*a(n-20) +16613*a(n-21) -97187*a(n-22) -8185*a(n-23) +199948*a(n-24) +235970*a(n-25) +21467*a(n-26) -396028*a(n-27) -168777*a(n-28) +347284*a(n-29) +546093*a(n-30) -20595*a(n-31) -733067*a(n-32) -497232*a(n-33) +64780*a(n-34) +471056*a(n-35) +244089*a(n-36) -113651*a(n-37) -210162*a(n-38) -106774*a(n-39) +42085*a(n-40) -11265*a(n-41) -9272*a(n-42) +5459*a(n-43) +12341*a(n-44) +24615*a(n-45) +7030*a(n-46) -4538*a(n-47) -4658*a(n-48) -2118*a(n-49) +128*a(n-50) +580*a(n-51) -4*a(n-52) -40*a(n-53) for n>56
%e Some solutions for n=7
%e ..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..1
%e ..0..1..1..0. .0..1..0..1. .0..0..1..0. .0..1..1..0. .0..1..0..1
%e ..0..0..1..0. .1..1..0..0. .1..1..1..0. .1..0..1..0. .1..0..0..0
%e ..1..1..0..1. .0..1..1..0. .1..0..0..1. .1..0..1..0. .0..1..1..0
%e ..1..0..0..1. .0..0..0..1. .1..0..1..0. .0..1..0..0. .1..0..0..1
%e ..1..0..0..1. .1..0..1..0. .0..1..1..0. .0..1..0..1. .1..0..1..0
%e ..1..1..1..1. .1..1..0..0. .0..0..0..0. .0..0..1..1. .1..1..0..0
%Y Cf. A298133.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 13 2018
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