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%I #4 Jan 04 2018 22:01:26
%S 1,87,747,4212,36981,336653,2699832,21850022,183192407,1522306495,
%T 12548589707,103837294832,860631234338,7123554860826,58949780986136,
%U 488030041372421,4040237224677767,33443991440492758,276846422291175139
%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.
%C Row 4 of A297720.
%H R. H. Hardin, <a href="/A297723/b297723.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 11*a(n-1) -19*a(n-2) -10*a(n-3) +7*a(n-4) -2556*a(n-5) +9081*a(n-6) +13966*a(n-7) -77241*a(n-8) +72676*a(n-9) +28893*a(n-10) -637255*a(n-11) +1526569*a(n-12) +469389*a(n-13) -3665334*a(n-14) +4814180*a(n-15) -5319769*a(n-16) -8880003*a(n-17) +13767152*a(n-18) +6401349*a(n-19) +14938145*a(n-20) -2934050*a(n-21) -5974311*a(n-22) -80176725*a(n-23) -18087512*a(n-24) +57587221*a(n-25) +39523568*a(n-26) +107797498*a(n-27) -6507215*a(n-28) -30852088*a(n-29) -148569080*a(n-30) -36275312*a(n-31) -27497527*a(n-32) +46067911*a(n-33) +95391349*a(n-34) +24957677*a(n-35) +37407764*a(n-36) -45574161*a(n-37) -8302242*a(n-38) -34381868*a(n-39) +1027606*a(n-40) +1516924*a(n-41) +8588219*a(n-42) +4320054*a(n-43) -9970*a(n-44) -1077284*a(n-45) -1039524*a(n-46) +154880*a(n-47) +6968*a(n-48) +88752*a(n-49) +11840*a(n-50) -11008*a(n-51)
%e Some solutions for n=5
%e ..1..1..0..0..1. .1..1..0..0..0. .1..1..1..1..0. .1..1..0..0..0
%e ..0..0..0..1..0. .0..0..0..0..0. .0..0..0..0..0. .0..1..1..0..0
%e ..0..0..1..1..0. .0..0..0..1..1. .0..0..0..1..0. .0..0..0..0..0
%e ..0..1..0..1..0. .1..1..0..0..1. .0..0..0..1..1. .1..1..1..1..1
%Y Cf. A297720.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 04 2018
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