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A297396 Number of 3 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1. 1

%I

%S 1,9,19,37,127,323,763,2121,5557,14031,37065,97027,250371,653707,

%T 1706245,4431885,11544027,30085525,78290135,203852347,530958219,

%U 1382353401,3599332477,9373032927,24405570561,63547912011,165475162027,430875964651

%N Number of 3 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1.

%H R. H. Hardin, <a href="/A297396/b297396.txt">Table of n, a(n) for n = 1..210</a>

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

%F Empirical g.f.: x*(1 + 8*x + 9*x^2 + x^3 - 2*x^4 - 2*x^5) / (1 - x - x^2 - 8*x^3 - x^4 + 2*x^6). - _Colin Barker_, Feb 28 2019

%e Some solutions for n=5:

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

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

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

%Y Row 3 of A297395.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 29 2017

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Last modified February 1 12:28 EST 2023. Contains 359993 sequences. (Running on oeis4.)