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Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.
1

%I #4 Jan 02 2018 15:15:23

%S 1,10,43,140,494,1845,6757,24479,89068,324765,1182996,4307440,

%T 15687513,57137761,208098949,757896766,2760293603,10053139616,

%U 36613986582,133349718469,485665707449,1768816633099,6442109942616,23462454583677

%N Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.

%C Row 2 of A297654.

%H R. H. Hardin, <a href="/A297655/b297655.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) +13*a(n-3) +6*a(n-4) +12*a(n-5) +12*a(n-6)

%e Some solutions for n=7

%e ..1..1..1..0..1..1..0. .0..1..1..0..0..1..1. .0..1..1..0..1..1..1

%e ..0..0..0..1..0..0..1. .1..0..0..1..0..0..1. .1..0..0..1..1..1..0

%Y Cf. A297654.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 02 2018