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A246001 Number of length 6+2 0..n arrays with no pair in any consecutive three terms totalling exactly n.

%I A246001 #6 Dec 28 2023 19:31:54
%S A246001 2,56,2308,23168,171942,795144,3057032,9401216,25819210,62402840,
%T A246001 139927692,288998016,566057198,1047126248,1862251792,3175741184,
%U A246001 5253738642,8416795896,13163097620,20070807680,30009814582,43960191176
%N A246001 Number of length 6+2 0..n arrays with no pair in any consecutive three terms totalling exactly n.
%C A246001 Row 6 of A245995.
%H A246001 R. H. Hardin, <a href="/A246001/b246001.txt">Table of n, a(n) for n = 1..210</a>
%F A246001 Empirical: a(n) = 3*a(n-1) +3*a(n-2) -17*a(n-3) +3*a(n-4) +39*a(n-5) -25*a(n-6) -45*a(n-7) +45*a(n-8) +25*a(n-9) -39*a(n-10) -3*a(n-11) +17*a(n-12) -3*a(n-13) -3*a(n-14) +a(n-15).
%e A246001 Some solutions for n=5
%e A246001 ..0....4....3....3....0....1....0....0....4....1....4....3....0....0....4....1
%e A246001 ..3....4....3....0....4....0....4....1....3....1....4....3....3....3....0....1
%e A246001 ..3....5....0....0....3....0....4....3....5....0....2....1....1....4....0....1
%e A246001 ..4....5....3....2....0....3....0....1....5....0....2....3....1....3....0....0
%e A246001 ..4....1....1....0....4....4....3....3....4....3....0....3....2....3....1....0
%e A246001 ..3....1....0....1....4....0....1....1....3....3....2....5....0....5....0....4
%e A246001 ..5....1....0....1....0....2....3....1....3....3....2....5....1....1....0....3
%e A246001 ..5....2....3....0....2....0....0....3....1....0....0....3....3....5....4....0
%Y A246001 Cf. A245995.
%K A246001 nonn
%O A246001 1,1
%A A246001 _R. H. Hardin_, Aug 09 2014