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A200042 Number of -n..n arrays x(0..5) of 6 elements with sum zero and with zeroth through 5th differences all nonzero 1

%I #5 Mar 31 2012 12:36:37

%S 2,168,1450,7384,25814,72220,169170,351964,667998,1174860,1958474,

%T 3119900,4772250,7066336,10146330,14251004,19583286,26418704,35030826,

%U 45705392,58910542,75014652,94447002,117742012,145274026,177897944

%N Number of -n..n arrays x(0..5) of 6 elements with sum zero and with zeroth through 5th differences all nonzero

%C Row 6 of A200038

%H R. H. Hardin, <a href="/A200042/b200042.txt">Table of n, a(n) for n = 1..67</a>

%e Some solutions for n=6

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

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

%e .-4...-6....5...-1....3...-6....4....6....5....5...-4....1....1...-4....5...-4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 12 2011

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