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A233612 Number of (n+2)X(2+2) 0..2 arrays with no increasing sequence of length 3 horizontally or diagonally downwards 1

%I #4 Dec 14 2013 06:52:59

%S 395955,27826929,1955165211,137370562281,9651696380883,

%T 678130944334209,47645673900633963,3347598657948373881,

%U 235203237936279213219,16525446682220210003409,1161082604317640744905083

%N Number of (n+2)X(2+2) 0..2 arrays with no increasing sequence of length 3 horizontally or diagonally downwards

%C Column 2 of A233618

%H R. H. Hardin, <a href="/A233612/b233612.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 75*a(n-1) -279*a(n-2) -4023*a(n-3) +15264*a(n-4) +56196*a(n-5) -228096*a(n-6) +186624*a(n-7)

%e Some solutions for n=1

%e ..0..0..1..1....0..0..1..1....0..2..1..2....0..2..0..1....0..1..1..2

%e ..0..0..1..0....2..0..2..2....2..1..2..2....2..0..2..1....2..1..0..1

%e ..2..0..1..0....0..0..1..0....0..1..0..1....2..2..1..0....2..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013

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Last modified April 19 05:19 EDT 2024. Contains 371782 sequences. (Running on oeis4.)