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A297296 Number of nX5 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s. 1

%I

%S 1,4,9,21,49,114,266,620,1446,3372,7864,18340,42772,99752,232640,

%T 542560,1265352,2951040,6882384,16051024,37434032,87303264,203607776,

%U 474851968,1107444896,2582771648,6023513600,14047976768,32762547648,76408478336

%N Number of nX5 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.

%C Column 5 of A297299.

%H R. H. Hardin, <a href="/A297296/b297296.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-2) -2*a(n-3) -2*a(n-4) for n>5

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297299.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 27 2017

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Last modified February 20 20:55 EST 2019. Contains 320345 sequences. (Running on oeis4.)