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A200192 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 11
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Row 3 is A139596(n-1)
Sequence in context: A127192 A122141 A091604 * A137629 A220504 A087569
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 14 2011
STATUS
approved

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Last modified July 14 12:29 EDT 2024. Contains 374318 sequences. (Running on oeis4.)