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%I #6 May 26 2024 01:19:21
%S 2,16,318,1952,16584,119176,832218,5780340,39020884,260919192,
%T 1725189008,11301829056,73518360532,475188725292,3055000301306,
%U 19549420762100,124588203699132,791140457595836,5007656160113482,31605725372441888
%N Number of n X 4 0..1 arrays with no 1 equal to more than one of its king-move neighbors, with the exception of exactly one element.
%C Column 4 of A282791.
%H R. H. Hardin, <a href="/A282787/b282787.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +28*a(n-2) +26*a(n-3) -404*a(n-4) -1508*a(n-5) -2631*a(n-6) -1242*a(n-7) +1650*a(n-8) +5880*a(n-9) +5486*a(n-10) +2762*a(n-11) -2635*a(n-12) -3886*a(n-13) -3543*a(n-14) -896*a(n-15) -39*a(n-16) +322*a(n-17) -49*a(n-18).
%e Some solutions for n=4
%e ..0..0..1..0. .1..0..1..0. .0..1..0..0. .1..1..0..0. .0..0..1..0
%e ..0..0..0..0. .0..0..1..0. .0..0..0..1. .0..0..0..0. .1..0..0..1
%e ..1..1..1..0. .1..0..1..0. .0..0..0..0. .0..0..0..0. .0..1..0..1
%e ..0..0..0..0. .1..0..0..0. .0..1..1..1. .0..1..1..1. .0..0..0..0
%Y Cf. A282791.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 21 2017