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A202983 Number of nX3 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor 1

%I #5 Mar 31 2012 12:36:54

%S 1,63,1233,16854,239196,3557168,52328419,764541713,11194473148,

%T 164061008324,2403403907914,35204470177631,515704944067269,

%U 7554581118847553,110665921163215772,1621126629146201847

%N Number of nX3 0..2 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 3 of A202988

%H R. H. Hardin, <a href="/A202983/b202983.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 27*a(n-1) -271*a(n-2) +1899*a(n-3) -11048*a(n-4) +44346*a(n-5) -113218*a(n-6) +201165*a(n-7) -291398*a(n-8) +360023*a(n-9) -334000*a(n-10) +199528*a(n-11) -66264*a(n-12) +9212*a(n-13)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 26 2011

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)