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A188270
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Number of nondecreasing strings of numbers x(i=1..n) in -2..2 with sum x(i)^3 equal to 0
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1
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1, 3, 3, 6, 6, 10, 10, 15, 17, 23, 27, 34, 40, 48, 56, 65, 75, 87, 99, 114, 128, 146, 162, 183, 201, 225, 247, 274, 300, 330, 360, 393, 427, 463, 501, 542, 584, 630, 676, 727, 777, 833, 887, 948, 1008, 1074, 1140, 1211, 1283, 1359, 1437, 1518, 1602, 1690, 1780, 1875
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history;
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OFFSET
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1,2
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COMMENTS
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Column 2 of A188277
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..200
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FORMULA
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Empirical: a(n)=2*a(n-1)-2*a(n-3)+a(n-4)+a(n-9)-2*a(n-10)+2*a(n-12)-a(n-13)
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EXAMPLE
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All solutions for n=8 k=2
.-1...-2...-2....0...-2...-2...-1...-2...-2...-2...-1...-2...-2...-1...-2
..0....0...-2....0...-1...-1...-1...-2...-2...-2...-1...-2...-1...-1...-2
..0....0...-2....0....0...-1...-1...-2....0...-2....0...-1...-1...-1...-1
..0....0...-1....0....0....0...-1...-2....0....0....0...-1...-1....0....0
..0....0....1....0....0....0....1....2....0....0....0....1....1....0....0
..0....0....2....0....0....1....1....2....0....2....0....1....1....1....1
..0....0....2....0....1....1....1....2....2....2....1....2....1....1....2
..1....2....2....0....2....2....1....2....2....2....1....2....2....1....2
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CROSSREFS
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Sequence in context: A079551 A182843 A008805 * A026925 A088528 A220153
Adjacent sequences: A188267 A188268 A188269 * A188271 A188272 A188273
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Mar 26 2011
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STATUS
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approved
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