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A297592 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 1

%I

%S 6,33,145,752,3747,18577,93150,464697,2320289,11591504,57880641,

%T 289072233,1443683308,7209863009,36007227773,179824937844,

%U 898069917949,4485086714025,22399136063860,111864365243177,558666033595587

%N Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.

%C Column 5 of A297595.

%H R. H. Hardin, <a href="/A297592/b297592.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +8*a(n-2) +45*a(n-3) +77*a(n-4) +50*a(n-5) -236*a(n-6) -474*a(n-7) -291*a(n-8) -115*a(n-9) -109*a(n-10) +780*a(n-11) +984*a(n-12) +1210*a(n-13) -80*a(n-14) +684*a(n-15) +136*a(n-16) -594*a(n-17) -247*a(n-18) -179*a(n-19) -97*a(n-20) -32*a(n-21) +16*a(n-22)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297595.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2018

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Last modified September 22 06:53 EDT 2020. Contains 337289 sequences. (Running on oeis4.)