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A246000 Number of length 5+2 0..n arrays with no pair in any consecutive three terms totalling exactly n 1

%I

%S 2,38,956,7132,40590,153906,496088,1319480,3178490,6857470,13855572,

%T 26075028,46848326,80108042,132346160,210837616,327085938,493492950,

%U 729039980,1053585740,1496758142,2088821218,2874009096,3896630952

%N Number of length 5+2 0..n arrays with no pair in any consecutive three terms totalling exactly n

%C Row 5 of A245995

%H R. H. Hardin, <a href="/A246000/b246000.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) -14*a(n-3) +5*a(n-4) +25*a(n-5) -20*a(n-6) -20*a(n-7) +25*a(n-8) +5*a(n-9) -14*a(n-10) +2*a(n-11) +3*a(n-12) -a(n-13)

%e Some solutions for n=6

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

%e ..5....6....2....2....1....0....1....5....5....5....3....2....4....6....4....5

%e ..6....5....1....5....2....0....1....5....5....0....4....0....1....4....4....4

%e ..4....3....1....0....1....5....6....5....0....2....6....0....3....4....4....3

%e ..6....5....1....2....1....2....3....5....4....5....3....0....4....0....1....1

%e ..4....0....4....0....4....3....1....3....0....6....5....5....0....1....3....4

%e ..3....2....6....1....3....6....4....2....5....6....5....3....5....4....2....4

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 09 2014

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Last modified March 31 16:44 EDT 2020. Contains 333151 sequences. (Running on oeis4.)