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%I #4 Dec 30 2017 07:06:33
%S 1,6,68,183,535,2430,12005,45977,182298,793315,3484949,14803822,
%T 63574491,278058902,1219845758,5340002947,23461452827,103504152712,
%U 457326306914,2022170756866,8953245703620,39687982435839,176052243048369
%N Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s.
%C Row 5 of A297431.
%H R. H. Hardin, <a href="/A297435/b297435.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -2*a(n-2) -21*a(n-3) +55*a(n-4) -312*a(n-5) -47*a(n-6) +1417*a(n-7) -1322*a(n-8) +1486*a(n-9) +5063*a(n-10) -11080*a(n-11) +5229*a(n-12) -1399*a(n-13) -24687*a(n-14) +35875*a(n-15) +3906*a(n-16) -14117*a(n-17) -22633*a(n-18) +43774*a(n-19) -41598*a(n-20) +41345*a(n-21) -37878*a(n-22) +32034*a(n-23) -16314*a(n-24) +6016*a(n-25) -2376*a(n-26) +968*a(n-27) -432*a(n-28) +64*a(n-29)
%e Some solutions for n=5
%e ..0..1..1..0..0. .0..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0
%e ..1..1..0..0..0. .0..0..1..1..1. .0..1..0..1..1. .0..0..1..0..0
%e ..0..0..0..0..0. .0..0..0..1..0. .1..0..0..1..0. .0..1..0..1..0
%e ..1..1..0..0..0. .1..1..0..0..0. .0..1..1..0..0. .1..1..0..0..1
%e ..0..1..1..0..0. .1..1..0..0..0. .0..0..0..0..0. .0..0..1..1..0
%Y Cf. A297431.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 30 2017
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