cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A188114 #11 Jul 22 2025 10:59:38
%S A188114 0,1,0,3,4,16,42,137,426,1398,4622,15594,53252,184060,642392,2261829,
%T A188114 8024726,28664946,103015222,372234190,1351655526,4930080182,
%U A188114 18055480464,66371559466,244817099870,905883648170,3361795172242,12509691344838
%N A188114 Number of strictly increasing arrangements of n nonzero numbers in -(n-1)..(n-1) with sum zero.
%C A188114 Column 1 of A188122
%H A188114 R. H. Hardin, <a href="/A188114/b188114.txt">Table of n, a(n) for n = 1..32</a>
%e A188114 All solutions for n=6
%e A188114 .-5...-5...-5...-4...-4...-5...-3...-5...-4...-4...-5...-4...-5...-5...-5...-5
%e A188114 .-2...-3...-4...-3...-3...-3...-2...-4...-2...-3...-3...-3...-3...-2...-4...-4
%e A188114 .-1...-2...-1...-1...-1...-1...-1...-1...-1...-2...-1...-2...-2...-1...-2...-3
%e A188114 ..1....1....1....1....1....1....1....2....1....1....2....2....2....1....2....3
%e A188114 ..3....4....4....3....2....3....2....3....2....3....3....3....3....2....4....4
%e A188114 ..4....5....5....4....5....5....3....5....4....5....4....4....5....5....5....5
%Y A188114 Equals A188116(n-2)
%K A188114 nonn
%O A188114 1,4
%A A188114 _R. H. Hardin_ Mar 21 2011