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Number of length 3+4 0..n arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two
1

%I #4 Oct 18 2014 19:51:42

%S 112,1140,8680,42308,163112,485580,1298968,2997774,6449496,12811158,

%T 24159584,42911184,73629888,120844328,193152322,298869080,452268778,

%U 666984964,966771826,1372738118,1920965096,2643444158,3592832436

%N Number of length 3+4 0..n arrays with no five consecutive terms having two times the sum of any three elements equal to three times the sum of the remaining two

%C Row 3 of A249001

%H R. H. Hardin, <a href="/A249004/b249004.txt">Table of n, a(n) for n = 1..69</a>

%e Some solutions for n=5

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 18 2014