%I #5 Mar 31 2012 12:36:37
%S 2,302,3042,16114,55540,152586,351148,721324,1351980,2366612,3910366,
%T 6183420,9398302,13840734,19819666,27715966,37936024,50997474,
%U 67408004,87815888,112883696,143392012,180139662,224110176,276233778,337668358
%N Number of -n..n arrays x(0..4) of 5 elements with zeroth through 4th differences all nonzero
%C Row 5 of A199943
%H R. H. Hardin, <a href="/A199946/b199946.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-3) +a(n-4) +a(n-5) -2*a(n-7) -a(n-8) -3*a(n-9) -2*a(n-11) +2*a(n-12) +a(n-13) +2*a(n-14) +2*a(n-15) +a(n-16) +2*a(n-17) -2*a(n-18) -3*a(n-20) -a(n-21) -2*a(n-22) +a(n-24) +a(n-25) +2*a(n-26) -a(n-29)
%e Some solutions for n=6
%e .-5....2...-3....5....6....4...-5....2....1....3...-6...-3....5...-6....5....5
%e ..1...-5...-4...-3....4...-2...-3....5...-1....1...-3....3....2...-1....1....4
%e ..6....6....5...-1...-4....3....1....2....2....6....4....1...-5....1....3...-5
%e ..5...-1...-3...-2....3....5....4...-6....4...-1...-2...-5....2...-2...-2...-3
%e ..1....5...-5....2...-3...-6....1...-5....2...-2....6...-6....1...-4...-5....4
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 12 2011
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