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A268322 Number of length-(n+1) 0..3 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero.

%I A268322 #4 Feb 01 2016 10:22:17
%S A268322 2,4,11,32,102,337,1148,3984,14030,49973,179735,652010,2383857,
%T A268322 8779485,32555471,121497802,456178652,1722502343,6538543106,
%U A268322 24942393310,95581407132,367817900179,1420912978925,5508514801624,21423891255215
%N A268322 Number of length-(n+1) 0..3 arrays with new values introduced in sequential order, and with new repeated values introduced in sequential order, both starting with zero.
%C A268322 Column 3 of A268327.
%H A268322 R. H. Hardin, <a href="/A268322/b268322.txt">Table of n, a(n) for n = 1..210</a>
%F A268322 Empirical: a(n) = 15*a(n-1) -83*a(n-2) +181*a(n-3) +20*a(n-4) -632*a(n-5) +445*a(n-6) +849*a(n-7) -637*a(n-8) -673*a(n-9) +208*a(n-10) +260*a(n-11) +48*a(n-12)
%e A268322 Some solutions for n=10
%e A268322 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A268322 ..1....1....0....0....1....1....1....1....1....0....1....1....1....0....0....0
%e A268322 ..2....0....0....0....0....2....2....2....0....1....2....2....2....1....0....1
%e A268322 ..1....1....1....0....2....3....1....1....0....2....1....0....1....2....1....1
%e A268322 ..3....2....2....1....1....2....0....0....0....3....3....0....2....0....1....1
%e A268322 ..2....1....0....0....2....0....3....2....1....1....0....2....0....2....2....1
%e A268322 ..3....2....3....2....0....1....2....3....0....0....0....1....1....3....0....1
%e A268322 ..0....3....0....3....2....0....0....0....1....1....1....2....0....2....1....2
%e A268322 ..0....0....0....1....1....3....1....1....1....2....1....0....1....1....1....3
%e A268322 ..0....0....0....3....2....0....3....2....0....0....0....3....0....2....0....0
%e A268322 ..1....1....0....2....0....0....2....1....2....0....3....1....1....0....0....0
%Y A268322 Cf. A268327.
%K A268322 nonn
%O A268322 1,1
%A A268322 _R. H. Hardin_, Feb 01 2016