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.

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

Offset: 1

Author

R. H. Hardin Nov 14 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..871

Crossrefs

Row 3 is A139596(n-1)