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%I #4 Jan 20 2018 08:09:55
%S 5,13,4,38,54,97,467,1105,3354,12283,37107,122676,416829,1349661,
%T 4501298,15041030,49602808,165300728,550279765,1824434359,6073061606,
%U 20198360859,67084559733,223165737677,742040901129,2466100981652,8201311431601
%N Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
%C Column 4 of A298501.
%H R. H. Hardin, <a href="/A298497/b298497.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +38*a(n-3) -74*a(n-4) -94*a(n-5) -548*a(n-6) +1068*a(n-7) +1218*a(n-8) +4225*a(n-9) -8296*a(n-10) -8891*a(n-11) -20219*a(n-12) +40048*a(n-13) +41055*a(n-14) +65345*a(n-15) -129516*a(n-16) -127567*a(n-17) -150411*a(n-18) +291882*a(n-19) +277454*a(n-20) +255085*a(n-21) -466458*a(n-22) -433314*a(n-23) -325005*a(n-24) +528945*a(n-25) +492165*a(n-26) +313348*a(n-27) -417649*a(n-28) -405446*a(n-29) -226960*a(n-30) +216825*a(n-31) +235781*a(n-32) +118928*a(n-33) -61334*a(n-34) -89164*a(n-35) -39557*a(n-36) +263*a(n-37) +16190*a(n-38) +3967*a(n-39) +5305*a(n-40) +1954*a(n-41) +2833*a(n-42) -770*a(n-43) -1558*a(n-44) -1215*a(n-45) -319*a(n-46) +210*a(n-47) +145*a(n-48) +78*a(n-49) +4*a(n-50) +2*a(n-51) for n>54
%e Some solutions for n=6
%e ..0..1..1..0. .0..0..0..1. .0..1..1..0. .0..0..0..1. .0..1..0..1
%e ..1..0..1..1. .1..1..0..0. .1..1..0..1. .1..1..0..0. .1..0..0..0
%e ..0..0..1..0. .1..1..0..1. .0..1..0..0. .1..1..0..1. .1..1..0..1
%e ..1..0..1..1. .0..0..1..0. .1..1..0..1. .0..1..0..1. .1..1..0..1
%e ..0..0..1..1. .0..0..1..1. .0..1..0..0. .1..1..0..0. .1..0..0..0
%e ..1..0..0..0. .1..1..1..0. .0..1..0..0. .1..1..0..0. .0..1..0..1
%Y Cf. A298501.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 20 2018
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