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A200191 Number of -7..7 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.

%I A200191 #7 Jul 22 2025 15:44:00
%S A200191 1,14,90,688,5300,41938,334278,2702398,21910764,179391752,1470318926,
%T A200191 12138752566,100237526220,832451175714,6911760321744,57654489610890,
%U A200191 480698731253616,4023489592590784,33656450218770442,282477294114249058
%N A200191 Number of -7..7 arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.
%C A200191 Column 7 of A200192
%H A200191 R. H. Hardin, <a href="/A200191/b200191.txt">Table of n, a(n) for n = 1..200</a>
%e A200191 Some solutions for n=5
%e A200191 .-4....0...-3...-3...-1...-7....5....6...-6...-2...-6....2....0...-7...-3...-4
%e A200191 ..4....6....5....5....7....5...-7...-6....0....4....1...-4....4....4....2...-6
%e A200191 .-5...-3...-5....0...-1...-4....7....2...-3...-5...-4....3...-5...-2...-7....4
%e A200191 ..5....2....6....4....2....7...-7...-4....6....4....6...-5....2....6....6....2
%e A200191 ..0...-5...-3...-6...-7...-1....2....2....3...-1....3....4...-1...-1....2....4
%K A200191 nonn
%O A200191 1,2
%A A200191 _R. H. Hardin_ Nov 14 2011