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Number of zero-sum -3..3 arrays of n elements with first through fourth differences also in -3..3
1

%I #5 Mar 31 2012 12:36:44

%S 1,3,15,29,55,167,295,647,1427,3399,6987,15915,35035,78815,175659,

%T 401885,907063,2070241,4703563,10756853,24527921,56167839,128565473,

%U 295006361,677007927,1556684111,3580113745,8243974707,18993055553,43795271957

%N Number of zero-sum -3..3 arrays of n elements with first through fourth differences also in -3..3

%C Column 3 of A201439

%H R. H. Hardin, <a href="/A201434/b201434.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=10

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

%e .-1....0....0....0....0....0....2....1....0...-1...-1...-2....1....0....2....2

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

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 01 2011