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A243606 Number of length n+2 0..9 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..9 introduced in 0..9 order.

%I A243606 #6 Jul 23 2025 11:21:16
%S A243606 4,10,29,97,366,1534,7050,35167,188834,1084123,6616633,42711918,
%T A243606 290232665,2066233824,15337289086,118111928594,938944428249,
%U A243606 7667833845713,64035036092080,544629289107076,4700922875545352
%N A243606 Number of length n+2 0..9 arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..9 introduced in 0..9 order.
%C A243606 Column 9 of A243607
%H A243606 R. H. Hardin, <a href="/A243606/b243606.txt">Table of n, a(n) for n = 1..210</a>
%F A243606 Empirical: a(n) = 38*a(n-1) -603*a(n-2) +5165*a(n-3) -25592*a(n-4) +71533*a(n-5) -92714*a(n-6) -10048*a(n-7) +134330*a(n-8) -29886*a(n-9) -94396*a(n-10) -8366*a(n-11) +29547*a(n-12) +16394*a(n-13) +4033*a(n-14) +529*a(n-15) +36*a(n-16) +a(n-17)
%e A243606 Some solutions for n=5
%e A243606 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A243606 ..1....0....1....1....1....0....0....1....1....1....1....0....1....1....1....0
%e A243606 ..2....0....2....1....2....1....0....1....1....2....2....1....1....2....2....0
%e A243606 ..2....0....3....0....3....2....0....2....1....3....0....2....0....2....2....0
%e A243606 ..3....0....1....0....0....3....1....3....1....4....1....2....0....3....3....0
%e A243606 ..1....1....1....1....2....3....2....3....0....5....1....0....2....0....0....1
%e A243606 ..1....2....0....1....2....2....3....1....0....3....1....3....3....2....1....1
%K A243606 nonn
%O A243606 1,1
%A A243606 _R. H. Hardin_, Jun 07 2014