%I #4 Dec 31 2017 09:52:02
%S 6,65,363,2610,19187,134123,956810,6834267,48617437,346450092,
%T 2468975717,17589178379,125325570606,892966071949,6362349116511,
%U 45332105458684,322993886339549,2301344223018433,16397188735256084,116830761042732185
%N Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s.
%C Column 5 of A297519.
%H R. H. Hardin, <a href="/A297516/b297516.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +9*a(n-2) +97*a(n-3) -270*a(n-4) -535*a(n-5) -2672*a(n-6) +4670*a(n-7) +11620*a(n-8) +24263*a(n-9) -34073*a(n-10) -113740*a(n-11) -85985*a(n-12) +137293*a(n-13) +532298*a(n-14) +110765*a(n-15) -340164*a(n-16) -1294301*a(n-17) +208677*a(n-18) +252812*a(n-19) +1399428*a(n-20) -618875*a(n-21) -201935*a(n-22) +1798625*a(n-23) -1979190*a(n-24) +3689606*a(n-25) -7150815*a(n-26) +6062736*a(n-27) -7124436*a(n-28) +5942306*a(n-29) -3910967*a(n-30) +1242633*a(n-31) +2439103*a(n-32) -2150109*a(n-33) +5908137*a(n-34) -5890893*a(n-35) +2508549*a(n-36) -1370320*a(n-37) -635836*a(n-38) +860876*a(n-39) -1748956*a(n-40) +1912696*a(n-41) -217910*a(n-42) +67462*a(n-43) -171947*a(n-44) -176964*a(n-45) +153646*a(n-46) -36877*a(n-47) -236*a(n-48) +2602*a(n-49) +80*a(n-50) +324*a(n-51) +337*a(n-52) -68*a(n-53) -21*a(n-54)
%e Some solutions for n=6
%e ..0..0..0..0..0. .0..0..1..0..1. .0..0..1..1..1. .0..0..0..1..1
%e ..1..1..0..0..1. .0..0..0..1..0. .0..0..1..0..0. .0..1..0..0..0
%e ..0..0..0..1..0. .1..1..1..0..0. .0..1..0..1..0. .0..0..1..0..0
%e ..1..0..0..0..0. .0..0..1..1..0. .0..1..0..0..0. .0..1..0..1..0
%e ..0..1..0..1..0. .1..0..1..1..0. .1..1..0..0..1. .0..0..0..0..0
%e ..1..0..1..1..0. .1..1..0..0..1. .0..1..0..1..0. .1..1..0..1..1
%Y Cf. A297519.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 31 2017