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Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, three, four, five or six distinct values for every i,j,k<=n.
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%I #6 Apr 26 2023 09:58:22

%S 48,330,1336,4204,12376,35520,101096,291658,847968,2515656,7544020,

%T 23042956,71066182,222455898,701643848,2238614428,7182380086,

%U 23244437414,75523460968,246963498566,809749533116,2667549489664,8803343561560

%N Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, three, four, five or six distinct values for every i,j,k<=n.

%H R. H. Hardin, <a href="/A211735/b211735.txt">Table of n, a(n) for n = 1..35</a>

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 20 2012