%I #4 Mar 30 2013 09:52:44

%S 35,1225,32523,772683,17735200,403836633,9186127249,208983591829,

%T 4754911670136,108190494364824,2461721043138176,56012981686098087,

%U 1274495739407259502,28999333370466443973,659838457829407289280

%N Number of nX4 0..3 arrays with rows nondecreasing and antidiagonals unimodal

%C Column 4 of A224024

%H R. H. Hardin, <a href="/A224020/b224020.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 35*a(n-1) -347*a(n-2) +1689*a(n-3) -2986*a(n-4) -2311*a(n-5) +23532*a(n-6) -23864*a(n-7) -36468*a(n-8) +100464*a(n-9) +94080*a(n-10)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2013