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A297728 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. 1

%I

%S 1,8,17,39,151,385,1026,3272,8945,24901,74075,208094,588488,1706080,

%T 4842007,13774525,39552499,112678747,321268652,919208426,2622325086,

%U 7483126614,21382095851,61030208100,174213589553,497546313443

%N Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s.

%C Column 3 of A297733.

%H R. H. Hardin, <a href="/A297728/b297728.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +13*a(n-3) -2*a(n-4) +4*a(n-5) -11*a(n-6) -3*a(n-7) -a(n-8)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297733.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 04 2018

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Last modified August 20 06:04 EDT 2019. Contains 326139 sequences. (Running on oeis4.)