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Number of -3..3 arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero.
0

%I #6 Apr 16 2023 20:02:01

%S 6,30,142,660,3042,13890,63260,287514,1305394,5924042,26877500,

%T 121920302,553009230,2508114154,11375127276,51589452156

%N Number of -3..3 arrays x(0..n-1) of n elements with zeroth through n-1st differences all nonzero.

%C Column 3 of A199943.

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A199943.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2011