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 A188114 Number of strictly increasing arrangements of n nonzero numbers in -(n-1)..(n-1) with sum zero 2

%I

%S 0,1,0,3,4,16,42,137,426,1398,4622,15594,53252,184060,642392,2261829,

%T 8024726,28664946,103015222,372234190,1351655526,4930080182,

%U 18055480464,66371559466,244817099870,905883648170,3361795172242,12509691344838

%N Number of strictly increasing arrangements of n nonzero numbers in -(n-1)..(n-1) with sum zero

%C Column 1 of A188122

%H R. H. Hardin, <a href="/A188114/b188114.txt">Table of n, a(n) for n = 1..32</a>

%e All solutions for n=6

%e .-5...-5...-5...-4...-4...-5...-3...-5...-4...-4...-5...-4...-5...-5...-5...-5

%e .-2...-3...-4...-3...-3...-3...-2...-4...-2...-3...-3...-3...-3...-2...-4...-4

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

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

%e ..3....4....4....3....2....3....2....3....2....3....3....3....3....2....4....4

%e ..4....5....5....4....5....5....3....5....4....5....4....4....5....5....5....5

%Y Equals A188116(n-2)

%K nonn

%O 1,4

%A _R. H. Hardin_ Mar 21 2011

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Last modified March 26 05:52 EDT 2023. Contains 361529 sequences. (Running on oeis4.)