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%I #4 Jan 01 2018 14:50:38
%S 13,96,787,6413,52512,429491,3514058,28752016,235246416,1924772818,
%T 15748396926,128852570569,1054265189419,8625944461642,70577040980468,
%U 577457778340216,4724730328967287,38657504527139644,316293746374084822
%N Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 3 neighboring 1s.
%C Column 4 of A297607.
%H R. H. Hardin, <a href="/A297603/b297603.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -15*a(n-2) +23*a(n-3) -194*a(n-4) +70*a(n-5) +255*a(n-6) +963*a(n-7) +726*a(n-8) -4023*a(n-9) -2056*a(n-10) +3928*a(n-11) +5067*a(n-12) -6036*a(n-13) -3432*a(n-14) +6721*a(n-15) +3158*a(n-16) -5982*a(n-17) -1559*a(n-18) +1385*a(n-19) +3525*a(n-20) -2268*a(n-21) -1131*a(n-22) +957*a(n-23) +179*a(n-24) -244*a(n-25) -33*a(n-26) +33*a(n-27) +6*a(n-28) -2*a(n-29) +2*a(n-30) +a(n-31) -a(n-32)
%e Some solutions for n=5
%e ..1..1..0..1. .1..0..1..0. .0..0..1..0. .0..0..0..0. .0..0..0..0
%e ..1..0..1..1. .0..0..0..1. .1..1..1..0. .0..0..0..1. .0..0..0..0
%e ..1..0..0..0. .1..1..0..0. .0..0..0..0. .1..0..0..0. .0..0..1..1
%e ..0..0..0..1. .0..0..0..0. .0..0..1..0. .0..0..1..0. .0..0..0..0
%e ..0..0..0..0. .1..1..0..1. .1..1..1..0. .0..0..0..0. .0..0..1..0
%Y Cf. A297607.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 01 2018
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