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A200183
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Number of -n..n arrays x(0..4) of 5 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).
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1
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2, 12, 15, 24, 31, 48, 53, 74, 83, 108, 119, 148, 159, 196, 209, 246, 263, 308, 323, 372, 391, 444, 465, 522, 543, 608, 631, 696, 723, 796, 821, 898, 927, 1008, 1039, 1124, 1155, 1248, 1281, 1374, 1411, 1512, 1547, 1652, 1691, 1800, 1841, 1954, 1995, 2116, 2159
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = a(n-2) +a(n-3) +a(n-4) -a(n-5) -a(n-6) -a(n-7) +a(n-9) for n>10.
Empirical g.f.: x*(2 + 12*x + 13*x^2 + 10*x^3 + 2*x^4 - x^5 - 3*x^6 + 2*x^8 + x^9) / ((1 - x)^3*(1 + x)^2*(1 + x^2)*(1 + x + x^2)). - Colin Barker, May 19 2018
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EXAMPLE
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Some solutions for n=6:
..0....6....5....5....4....3....0....5....2....2....2....1....2....4....2....6
..1....1...-2....6...-2...-1...-1....6....3....3....3....2...-1....1....3...-1
..2....2...-1...-3...-1....0....0...-4...-1....4...-2...-2....0....2....0....0
.-2...-5....0...-2....0....1....1...-3....0...-5...-1...-1....1...-4....1...-3
.-1...-4...-2...-6...-1...-3....0...-4...-4...-4...-2....0...-2...-3...-6...-2
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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