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A200803 Number of nX2 0..2 arrays with no average of any element and its diagonal, antidiagonal, horizontal and vertical neighbors equal to one 1

%I #5 Mar 31 2012 12:36:40

%S 6,62,378,2758,21028,152410,1123856,8320912,61313142,452500906,

%T 3340771202,24653586076,181959666062,1343028411144,9912362521336,

%U 73160174987386,539975059887262,3985391431572110,29414994393633268

%N Number of nX2 0..2 arrays with no average of any element and its diagonal, antidiagonal, horizontal and vertical neighbors equal to one

%C Column 2 of A200809

%H R. H. Hardin, <a href="/A200803/b200803.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +7*a(n-2) +59*a(n-3) -221*a(n-4) -254*a(n-5) -396*a(n-6) +276*a(n-7) +1752*a(n-8) -7344*a(n-9) +13392*a(n-10) +4320*a(n-11) -3456*a(n-12)

%e Some solutions for 3X3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 22 2011

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Last modified April 25 11:06 EDT 2024. Contains 371967 sequences. (Running on oeis4.)