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%I #6 Sep 05 2022 20:23:32
%S 1,15,54,185,853,3569,14691,62193,261763,1099727,4630135,19487541,
%T 82011553,345200748,1452975794,6115623192,25741334468,108348131766,
%U 456048653285,1919560023966,8079646389293,34008145665113,143144156221751
%N Number of n X 5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 neighboring 1's.
%C Column 5 of A296327.
%H R. H. Hardin, <a href="/A296324/b296324.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -15*a(n-2) +51*a(n-3) -121*a(n-4) +266*a(n-5) -598*a(n-6) +1026*a(n-7) -1958*a(n-8) +2883*a(n-9) -4421*a(n-10) +5480*a(n-11) -5762*a(n-12) +4485*a(n-13) -1246*a(n-14) -1423*a(n-15) +3587*a(n-16) -2563*a(n-17) +1429*a(n-18) +788*a(n-19) -1333*a(n-20) +2661*a(n-21) -3283*a(n-22) +2331*a(n-23) +1215*a(n-24) -4008*a(n-25) +2878*a(n-26) +724*a(n-27) -2739*a(n-28) +1555*a(n-29) +468*a(n-30) -1080*a(n-31) +418*a(n-32) +204*a(n-33) -249*a(n-34) +54*a(n-35) +44*a(n-36) -29*a(n-37) +a(n-38) +4*a(n-39) -a(n-40).
%e Some solutions for n=5
%e ..1..1..0..1..1. .0..0..1..1..0. .0..0..0..0..1. .0..1..1..1..1
%e ..1..0..0..1..0. .0..1..0..1..0. .0..0..0..1..1. .1..0..0..0..1
%e ..0..0..0..0..0. .1..0..1..0..0. .1..1..0..0..0. .1..0..1..1..0
%e ..0..0..0..0..1. .1..1..0..0..0. .1..0..0..0..0. .1..1..0..0..1
%e ..0..0..0..1..1. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..1..1
%Y Cf. A296327.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 10 2017
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