%I #4 Apr 19 2012 06:35:16
%S 1,2,3,4,7,12,19,33,59,102,182,334,608,1121,2109,3979,7564,14581,
%T 28292,55245,108972,216521,432839,872163,1769716,3612292,7422748,
%U 15351002,31928839,66803627,140592917,297492390,632896835,1353709480,2910262905
%N Number of nonnegative integer arrays of length n+2*3-2 with new values introduced in order 0 upwards and every value appearing only in runs of at least 3
%C Column 3 of A211700
%H R. H. Hardin, <a href="/A211695/b211695.txt">Table of n, a(n) for n = 1..210</a>
%e All solutions for n=5
%e ..0....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0
%e ..0....0....0....0....0....0....0
%e ..1....1....0....0....0....1....0
%e ..1....1....0....0....0....1....1
%e ..1....1....0....0....1....1....1
%e ..1....0....0....1....1....2....1
%e ..1....0....0....1....1....2....1
%e ..1....0....0....1....1....2....1
%K nonn
%O 1,2
%A _R. H. Hardin_ Apr 19 2012