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A297297 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s. 2

%I

%S 1,6,17,50,157,495,1574,5031,16123,51749,166241,534301,1717724,

%T 5523165,17760715,57115518,183679098,590706934,1899713778,6109510235,

%U 19648337645,63189642502,203219959503,653562362810,2101879559822,6759719676624

%N Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 2 neighboring 1s.

%C Column 6 of A297299.

%H R. H. Hardin, <a href="/A297297/b297297.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297299.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 27 2017

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Last modified March 26 06:48 EDT 2019. Contains 321481 sequences. (Running on oeis4.)