A223994 - OEIS

%I #4 Mar 30 2013 08:26:34

%S 10,76,476,2980,18672,117386,739672,4664776,29428242,185670484,

%T 1171477424,7391425016,46636189140,294251036912,1856576835280,

%U 11714070469768,73909919072136,466334575535548,2942337620960936

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

%C Column 3 of A223999

%H R. H. Hardin, <a href="/A223994/b223994.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) -24*a(n-2) -2*a(n-3) +30*a(n-4) +96*a(n-5) -150*a(n-6) -108*a(n-7) +48*a(n-8) +270*a(n-9)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2013