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A200180 Number of -7..7 arrays x(0..n-1) of n elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern) 1

%I #5 Mar 31 2012 12:36:38

%S 1,7,9,31,53,141,380,1010,2152,5014,14018,35542,78385,188789,503051,

%T 1241939,2859687,6957672,17863397,43991846,103888178,253531752,

%U 640390692,1575397895,3777406958,9259136398,23167497450,57008137128,138220165963

%N Number of -7..7 arrays x(0..n-1) of n elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern)

%C Column 7 of A200181

%H R. H. Hardin, <a href="/A200180/b200180.txt">Table of n, a(n) for n = 1..110</a>

%e Some solutions for n=6

%e ..3....6....7....2....3....4....1....2....6....2....5....2....6....4....5....2

%e .-1....5....2....3...-1....0....2....3....2....3...-1....0....0....2....6....0

%e ..0....6....3....4....0....1....3....4....3....4....0....1....1....3...-3....1

%e .-1...-6...-4...-3....1...-2....0...-4...-3...-2....1....2...-1...-2...-2....0

%e ..0...-5...-3...-2....2...-1....1...-3...-2...-1....2...-3....0...-1...-1....1

%e .-1...-6...-5...-4...-5...-2...-7...-2...-6...-6...-7...-2...-6...-6...-5...-4

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 13 2011

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Last modified April 24 13:16 EDT 2024. Contains 371950 sequences. (Running on oeis4.)