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A224348 Number of nX3 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing 1

%I #4 Apr 04 2013 10:22:03

%S 10,100,788,5880,45064,349280,2710892,21021916,163012744,1264202660,

%T 9804721360,76042111360,589756075600,4573942739248,35473931052816,

%U 275123688202096,2133765358334352,16548755248130912,128346493442546640

%N Number of nX3 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing

%C Column 3 of A224353

%H R. H. Hardin, <a href="/A224348/b224348.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -16*a(n-2) -24*a(n-3) +164*a(n-4) -516*a(n-5) +140*a(n-6) +956*a(n-7) -1500*a(n-8) +3180*a(n-9) +60*a(n-10)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 04 2013

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Last modified April 24 20:06 EDT 2024. Contains 371963 sequences. (Running on oeis4.)