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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 R. H. Hardin, Table of n, a(n) for n = 1..871 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 Adjacent sequences: A200189 A200190 A200191 * A200193 A200194 A200195 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.)