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Number of length n+4 0..5 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two
1

%I #5 Oct 18 2014 19:26:04

%S 1326,1654,2042,2494,3014,3606,4742,6130,7782,9710,11926,16166,21426,

%T 27758,35214,43846,60294,80882,105830,135358,169686,234886,316898,

%U 416654,535086,673126,934566,1264322,1666342,2144574,2702966,3757734,5090290

%N Number of length n+4 0..5 arrays with every five consecutive terms having two times the sum of some three elements equal to three times the sum of the remaining two

%C Column 5 of A248987

%H R. H. Hardin, <a href="/A248984/b248984.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +10*a(n-5) -10*a(n-6) -31*a(n-10) +31*a(n-11) +26*a(n-15) -26*a(n-16) +8*a(n-20) -8*a(n-21)

%e Some solutions for n=6

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

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

%e ..5....2....5....3....2....5....0....2....3....2....5....0....3....5....2....5

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

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

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

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

%e ..0....2....5....3....2....0....5....2....3....2....0....5....3....5....2....5

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 18 2014