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A245955 Number of length 5+3 0..n arrays with some pair in every consecutive four terms totalling exactly n 1

%I #4 Aug 08 2014 07:40:29

%S 162,4145,26244,128649,381222,1021225,2217096,4555697,8345130,

%T 14757441,24276492,38959225,59493294,89187449,128950032,183778785,

%U 254805426,349227217,468384660,622261481,812372022,1052152905,1343233944

%N Number of length 5+3 0..n arrays with some pair in every consecutive four terms totalling exactly n

%C Row 5 of A245950

%H R. H. Hardin, <a href="/A245955/b245955.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=4

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 08 2014

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Last modified August 6 10:29 EDT 2024. Contains 374969 sequences. (Running on oeis4.)