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A246742 Number of length 5+4 0..n arrays with no pair in any consecutive five terms totalling exactly n.

%I A246742 #6 Jul 23 2025 11:32:18
%S A246742 2,40,2436,19992,231414,1152576,6272072,22219408,79002090,220032120,
%T A246742 600454092,1407554280,3218159966,6646694992,13405336464,25160170656,
%U A246742 46234874322,80560371528,137811490580,226332464440,365838595782
%N A246742 Number of length 5+4 0..n arrays with no pair in any consecutive five terms totalling exactly n.
%C A246742 Row 5 of A246737
%H A246742 R. H. Hardin, <a href="/A246742/b246742.txt">Table of n, a(n) for n = 1..66</a>
%F A246742 Empirical: a(n) = 3*a(n-1) +4*a(n-2) -20*a(n-3) +56*a(n-5) -28*a(n-6) -84*a(n-7) +70*a(n-8) +70*a(n-9) -84*a(n-10) -28*a(n-11) +56*a(n-12) -20*a(n-14) +4*a(n-15) +3*a(n-16) -a(n-17)
%e A246742 Some solutions for n=4
%e A246742 ..2....4....1....0....0....0....1....2....4....0....0....1....4....0....1....3
%e A246742 ..4....3....1....0....1....1....2....0....1....1....0....1....1....3....4....2
%e A246742 ..4....3....0....0....0....1....4....1....4....1....2....4....4....2....1....3
%e A246742 ..1....3....2....3....2....1....1....1....1....0....0....4....4....3....4....3
%e A246742 ..4....4....1....3....1....1....1....0....4....0....0....4....4....3....1....4
%e A246742 ..1....3....1....3....1....0....1....2....4....1....0....2....2....3....1....3
%e A246742 ..1....4....0....2....1....0....4....0....1....2....1....4....3....3....1....3
%e A246742 ..4....4....1....3....4....1....2....1....2....0....2....1....3....0....4....3
%e A246742 ..4....4....0....0....1....0....4....0....4....1....0....1....3....2....1....4
%K A246742 nonn
%O A246742 1,1
%A A246742 _R. H. Hardin_, Sep 02 2014