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A203391 Number of nX2 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor 1

%I #5 Mar 31 2012 12:36:56

%S 1,16,185,1455,10804,83876,661595,5187181,40522052,316707721,

%T 2476929279,19371658984,151484525968,1184573677051,9263247815357,

%U 72438024528140,566459469153425,4429661481889999,34639556932938188,270878300837545724

%N Number of nX2 0..3 arrays with every nonzero element less than or equal to some NW, E or S neighbor

%C Column 2 of A203397

%H R. H. Hardin, <a href="/A203391/b203391.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -100*a(n-2) +400*a(n-3) -1164*a(n-4) +2172*a(n-5) -2624*a(n-6) +2393*a(n-7) -1552*a(n-8) +736*a(n-9) -324*a(n-10)

%e Some solutions for n=4

%e ..2..2....1..0....2..3....2..0....1..0....3..1....1..0....1..1....0..3....2..2

%e ..0..2....2..0....1..3....2..2....1..0....3..3....2..0....0..2....0..3....1..2

%e ..3..3....3..0....3..3....1..1....1..0....0..1....2..2....2..2....3..3....0..0

%e ..0..3....3..3....0..3....0..0....1..1....0..0....1..1....0..2....3..3....0..0

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 01 2012

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)