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Number of -5..5 arrays x(0..n+1) of n+2 elements with zero sum and nonzero first and second differences
1

%I #5 Mar 31 2012 12:36:39

%S 72,678,5720,50852,451708,4062384,36725772,334032710,3050654456,

%T 27965763262,257160791680,2371128350480,21913699015614,

%U 202938626310668,1882772669652668,17495621074794634,162811923678190584

%N Number of -5..5 arrays x(0..n+1) of n+2 elements with zero sum and nonzero first and second differences

%C Column 5 of A200454

%H R. H. Hardin, <a href="/A200451/b200451.txt">Table of n, a(n) for n = 1..158</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 18 2011