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%I #4 Apr 06 2018 12:18:20
%S 1,20,20,77,209,774,3143,13556,60280,272792,1243804,5692133,26100174,
%T 119782344,549950950,2525484907,11598683442,53271277746,244673796303,
%U 1123793697954,5161643580014,23707760958131,108891405413647
%N Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Column 4 of A302367.
%H R. H. Hardin, <a href="/A302363/b302363.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -7*a(n-2) +10*a(n-3) -30*a(n-4) -21*a(n-5) -3*a(n-6) -68*a(n-7) +280*a(n-8) +414*a(n-9) +164*a(n-10) -423*a(n-11) -1527*a(n-12) +833*a(n-13) +1714*a(n-14) -2022*a(n-15) -1901*a(n-16) +367*a(n-17) +2024*a(n-18) +923*a(n-19) +66*a(n-20) -142*a(n-21) -5380*a(n-22) +4543*a(n-23) +13152*a(n-24) -11763*a(n-25) -12833*a(n-26) +16700*a(n-27) +4765*a(n-28) -15572*a(n-29) +1243*a(n-30) +9288*a(n-31) -3398*a(n-32) -4331*a(n-33) +2341*a(n-34) +1523*a(n-35) -1099*a(n-36) -619*a(n-37) +631*a(n-38) +476*a(n-39) -262*a(n-40) -191*a(n-41) +217*a(n-42) -15*a(n-43) -90*a(n-44) +18*a(n-45) +6*a(n-46) -14*a(n-47) +4*a(n-48) +6*a(n-49) -2*a(n-50) for n>53
%e Some solutions for n=5
%e ..0..1..0..0. .0..1..1..1. .0..1..1..1. .0..1..1..1. .0..0..1..1
%e ..0..1..0..0. .1..1..1..0. .0..1..1..0. .1..1..1..1. .0..0..1..1
%e ..1..1..1..1. .0..1..1..0. .1..1..1..0. .1..0..0..0. .1..1..0..0
%e ..0..0..1..1. .0..1..1..1. .0..1..1..0. .1..1..0..1. .1..1..0..0
%e ..0..0..1..1. .0..1..1..0. .0..1..1..0. .1..1..0..1. .1..1..0..0
%Y Cf. A302367.
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 06 2018