cp's OEIS Frontend

A243599 Number of length n+2 0..n arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..n introduced in 0..n order.

%I A243599 #7 Dec 29 2023 10:23:44
%S A243599 3,9,28,96,365,1533,7049,35166,188834,1084179,6618471,42756207,
%T A243599 291120550,2081922514,15590248867,121920095673,993343650911,
%U A243599 8414029179364,73953763887276,673316834487161,6340176007793059,61657373569634585
%N A243599 Number of length n+2 0..n arrays with no three elements in a row with pattern aba (with a!=b) and new values 0..n introduced in 0..n order.
%C A243599 Diagonal of A243607.
%H A243599 R. H. Hardin, <a href="/A243599/b243599.txt">Table of n, a(n) for n = 1..121</a>
%e A243599 Some solutions for n=5
%e A243599 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A243599 ..1....0....0....1....1....1....0....1....1....1....0....1....1....1....0....1
%e A243599 ..2....1....0....2....2....1....1....2....1....2....0....2....1....1....1....2
%e A243599 ..2....2....0....2....0....1....2....2....2....3....1....2....1....0....2....2
%e A243599 ..3....2....1....0....3....1....0....3....2....4....2....3....0....2....2....1
%e A243599 ..0....0....2....0....3....0....3....4....3....2....3....0....0....2....2....0
%e A243599 ..0....3....3....2....0....2....1....2....4....3....4....1....2....1....1....3
%Y A243599 Cf. A243607.
%K A243599 nonn
%O A243599 1,1
%A A243599 _R. H. Hardin_, Jun 07 2014