A246476 - OEIS

%I #7 Nov 06 2018 04:12:22

%S 462,1734,6534,24582,92478,347934,1309038,4924998,18529350,69713094,

%T 262282014,986785278,3712588494,13967895174,52551500358,197714842182,

%U 743863801278,2798643484446,10529354082798,39614655463302

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

%H R. H. Hardin, <a href="/A246476/b246476.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) + 2*a(n-2) + 3*a(n-3) +a(n-4).

%F 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 Some solutions for n=5:

%e ..3....3....5....4....3....4....1....3....0....2....3....2....2....2....2....4

%e ..5....0....4....4....3....2....1....4....1....4....4....2....5....1....2....5

%e ..4....1....4....4....1....5....0....4....0....5....3....0....4....5....1....4

%e ..4....0....3....5....0....5....2....4....2....5....3....4....2....1....1....5

%e ..4....2....3....5....1....4....1....2....2....4....4....4....5....2....0....5

%e ..4....2....3....5....0....5....1....5....2....4....5....2....4....5....3....2

%e ..4....4....3....5....0....2....1....4....0....3....5....5....2....2....3....4

%e ..3....2....0....5....1....4....3....5....0....3....2....5....2....4....4....4

%Y Column 5 of A246479.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 27 2014