A223826 - OEIS

%I #4 Mar 27 2013 16:50:33

%S 22,484,6166,51136,310396,1492552,5995781,20879061,64727664,182215264,

%T 472897132,1144905802,2610251996,5646952970,11664925145,23128319257,

%U 44207709722,81762385076,146787187114,256501341004,437310109972

%N Number of nX3 0..2 arrays with rows and columns unimodal

%C Column 3 of A223831

%H R. H. Hardin, <a href="/A223826/b223826.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (5051/239500800)*n^12 + (17911/39916800)*n^11 + (113633/21772800)*n^10 + (27157/725760)*n^9 + (1331621/7257600)*n^8 + (36461/57600)*n^7 + (35192219/21772800)*n^6 + (2190431/725760)*n^5 + (24210049/5443200)*n^4 + (4187689/907200)*n^3 + (882989/207900)*n^2 + (2173/990)*n + 1

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 27 2013