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A200192
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T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing
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11
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1, 1, 2, 1, 4, 0, 1, 6, 6, 2, 1, 8, 14, 14, 0, 1, 10, 28, 48, 24, 2, 1, 12, 44, 120, 144, 54, 0, 1, 14, 66, 242, 506, 482, 104, 2, 1, 16, 90, 426, 1298, 2240, 1534, 230, 0, 1, 18, 120, 688, 2794, 7266, 9856, 5148, 464, 2, 1, 20, 152, 1040, 5300, 18838, 40632, 44562, 16826
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OFFSET
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1,3
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COMMENTS
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Table starts
.1....1.....1......1.......1........1.........1.........1..........1..........1
.2....4.....6......8......10.......12........14........16.........18.........20
.0....6....14.....28......44.......66........90.......120........152........190
.2...14....48....120.....242......426.......688......1040.......1494.......2066
.0...24...144....506....1298.....2794......5300......9220......14974......23094
.2...54...482...2240....7266....18838.....41938.....83600.....153278.....263198
.0..104..1534...9856...40632...127800....334278....765598....1585416....3034396
.2..230..5148..44562..231916...881008...2702398...7100700...16594066...35377058
.0..464.16826.199932.1320876..6081086..21910764..66127278..174522934..414666246
.2.1028.56918.914676.7630236.42452472.179391752.621239172.1850379990.4897547876
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LINKS
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EXAMPLE
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Some solutions for n=6 k=5
.-4....0....5....2....4...-4....5....4....1....4....1...-3...-3...-1....4....0
..3....3...-4....4...-3....2...-5...-2...-3...-3...-1....5....0....3...-3...-2
.-4...-4....1...-5....5...-2....4....1....3....3....3...-5...-3...-1....0....3
..2....2...-4....1...-5....4...-5...-2...-1...-4...-4....5....5....1...-2...-2
..0...-5....4...-5....4...-3....4....3....1....4....5...-2...-3...-2....2....4
..3....4...-2....3...-5....3...-3...-4...-1...-4...-4....0....4....0...-1...-3
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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