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%I #4 Dec 25 2017 09:48:52
%S 16,152,1256,11925,113084,1060921,10038612,95094637,900615714,
%T 8534743811,80899189850,766878865337,7270116538453,68924501642633,
%U 653452610729896,6195265128430294,58736602474530776,556877192800017002
%N Number of nX4 0..1 arrays with no 1 adjacent to 3 king-move neighboring 1s.
%C Column 4 of A297094.
%H R. H. Hardin, <a href="/A297090/b297090.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 13*a(n-1) -32*a(n-2) +91*a(n-3) -1148*a(n-4) +1189*a(n-5) +432*a(n-6) +28862*a(n-7) +1885*a(n-8) -99288*a(n-9) -277764*a(n-10) -73602*a(n-11) +940696*a(n-12) +830603*a(n-13) +656028*a(n-14) -1842327*a(n-15) +670113*a(n-16) -4449019*a(n-17) +328722*a(n-18) -7184185*a(n-19) +5048924*a(n-20) -5904485*a(n-21) +17433108*a(n-22) +14043747*a(n-23) -6345609*a(n-24) -5376327*a(n-25) -14541923*a(n-26) +7951703*a(n-27) -46141383*a(n-28) +48123785*a(n-29) +10991042*a(n-30) +34162142*a(n-31) -12716751*a(n-32) +10255038*a(n-33) -6907418*a(n-34) -5580039*a(n-35) -2794607*a(n-36) +1015404*a(n-37) -7152*a(n-38) +25911*a(n-39) +630*a(n-40) -4704*a(n-41) -560*a(n-42)
%e Some solutions for n=5
%e ..0..1..0..1. .1..1..0..1. .0..0..1..0. .1..0..1..0. .0..0..0..0
%e ..1..0..1..0. .0..0..0..1. .1..0..1..0. .0..0..0..0. .1..0..0..1
%e ..1..0..0..0. .0..1..0..1. .0..0..0..1. .0..1..0..0. .0..0..0..0
%e ..0..0..1..1. .0..0..0..1. .1..1..0..0. .0..0..0..1. .0..0..1..1
%e ..0..0..0..1. .0..1..1..0. .1..0..0..1. .0..1..0..0. .1..0..1..0
%Y Cf. A297094.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 25 2017
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