cp's OEIS Frontend

A246476 Number of length n+3 0..5 arrays with no pair in any consecutive four terms totalling exactly 5.

%I A246476 #7 Nov 06 2018 04:12:22
%S A246476 462,1734,6534,24582,92478,347934,1309038,4924998,18529350,69713094,
%T A246476 262282014,986785278,3712588494,13967895174,52551500358,197714842182,
%U A246476 743863801278,2798643484446,10529354082798,39614655463302
%N A246476 Number of length n+3 0..5 arrays with no pair in any consecutive four terms totalling exactly 5.
%H A246476 R. H. Hardin, <a href="/A246476/b246476.txt">Table of n, a(n) for n = 1..210</a>
%F A246476 Empirical: a(n) = 3*a(n-1) + 2*a(n-2) + 3*a(n-3) +a(n-4).
%F A246476 Empirical g.f.: 6*x*(77 + 58*x + 68*x^2 + 21*x^3) / (1 - 3*x - 2*x^2 - 3*x^3 - x^4). - _Colin Barker_, Nov 06 2018
%e A246476 Some solutions for n=5:
%e A246476 ..3....3....5....4....3....4....1....3....0....2....3....2....2....2....2....4
%e A246476 ..5....0....4....4....3....2....1....4....1....4....4....2....5....1....2....5
%e A246476 ..4....1....4....4....1....5....0....4....0....5....3....0....4....5....1....4
%e A246476 ..4....0....3....5....0....5....2....4....2....5....3....4....2....1....1....5
%e A246476 ..4....2....3....5....1....4....1....2....2....4....4....4....5....2....0....5
%e A246476 ..4....2....3....5....0....5....1....5....2....4....5....2....4....5....3....2
%e A246476 ..4....4....3....5....0....2....1....4....0....3....5....5....2....2....3....4
%e A246476 ..3....2....0....5....1....4....3....5....0....3....2....5....2....4....4....4
%Y A246476 Column 5 of A246479.
%K A246476 nonn
%O A246476 1,1
%A A246476 _R. H. Hardin_, Aug 27 2014