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A297372 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1s. 1

%I #4 Dec 29 2017 07:39:15

%S 64,2807,116932,4986469,211988289,9012089653,383128155296,

%T 16287817972455,692439110062325,29437457074856299,1251465819161322185,

%U 53203192507527858031,2261811429397076122601,96155713614199340990747

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

%C Column 6 of A297374.

%H R. H. Hardin, <a href="/A297372/b297372.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 44*a(n-1) -56*a(n-2) -187*a(n-3) -5608*a(n-4) +21016*a(n-5) -3332*a(n-6) +4895*a(n-7) -116578*a(n-8) +68785*a(n-9) -21021*a(n-10) +27575*a(n-11) -9269*a(n-12) +5557*a(n-13) -1984*a(n-14) -691*a(n-15) -73*a(n-16) +16*a(n-17) for n>19

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297374.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2017

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Last modified August 11 08:53 EDT 2024. Contains 375059 sequences. (Running on oeis4.)