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A246485 Number of length 6+3 0..n arrays with no pair in any consecutive four terms totalling exactly n 1

%I #4 Aug 27 2014 08:40:34

%S 2,52,3132,31104,347934,1893780,9714968,35251360,119069850,331355220,

%T 869135892,2019732192,4480392182,9156814324,18041010864,33514806720,

%U 60460359858,104364198900,175893704300,286474229440,457427541582

%N Number of length 6+3 0..n arrays with no pair in any consecutive four terms totalling exactly n

%C Row 6 of A246479

%H R. H. Hardin, <a href="/A246485/b246485.txt">Table of n, a(n) for n = 1..210</a>

%F 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 Some solutions for n=4

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 27 2014

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Last modified April 27 12:38 EDT 2024. Contains 372019 sequences. (Running on oeis4.)