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Number of length 3+3 0..n arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth
1

%I #4 Oct 24 2014 08:36:37

%S 48,428,2144,9504,29100,76856,178644,374540,723300,1314744,2258528,

%T 3717444,5893024,9039940,13477788,19618656,27921268,38978528,53474096,

%U 72214004,96133160,126348344,164077052,210790324,268108160,337868944

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

%C Row 3 of A249290

%H R. H. Hardin, <a href="/A249293/b249293.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=7

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

%e ..6....5....0....4....1....5....6....2....2....0....6....7....2....2....7....4

%e ..1....5....1....3....0....2....5....3....7....0....2....6....1....2....7....1

%e ..7....5....2....3....1....6....1....3....7....0....1....1....0....6....1....5

%e ..5....1....7....1....1....2....3....2....0....2....4....3....4....3....3....2

%e ..3....3....1....2....4....6....5....6....3....3....6....7....2....3....2....2

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 24 2014