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A208993型
T(n,k)是标有数字-k.k的n珠项链的数量,不允许反转,总和为零,第一个差值为-k.k。
14
1, 1, 1, 1, 2, 1, 1, 2, 3, 2, 1, 3, 5, 7, 3, 1, 3, 7, 16, 17, 5, 1, 4, 11, 33, 59, 51, 9, 1, 4, 15, 58, 159, 253, 155, 18, 1, 5, 19, 95, 351, 874, 1111, 508, 35, 1, 5, 25, 144, 683, 2354, 4935, 5067, 1683, 73, 1, 6, 31, 209, 1207, 5404, 16307, 28816, 23483, 5709, 151, 1, 6, 37, 290
抵消
1,5
评论
表格开始
..1...1....1.....1......1......1.......1.......1.......1........1........1
..1...2....2.....3......3......4.......4.......5.......5........6........6
..1...3....5.....7.....11.....15......19......25......31.......37.......45
..2...7...16....33.....58.....95.....144.....209.....290......391......512
..3..17...59...159....351....683....1207....1989....3099.....4623.....6647
..5..51..253...874...2354...5404...11010...20553...35781....58971....92851
..9.155.1111..4935..16307..44209..104001..219929..428031...779487..1344353
.18.508.5067.28816.116183.371893.1008880.2416967.5255962.10577092.19976373
链接
配方奶粉
第n行的经验值:
n=2:a(k)=a(k-1)+a(k-2)-a(k-3)。
n=3:a(k)=2*a(k-1)-a(k-2)+a(k-3)-2*a(k-4)+a(k-5)。
n=4:a(k)=3*a(k-1)-2*a(k-2)-2*a(k-3)+3*a(k4)-a(k-5)。
n=5:a(k)=2*a(k-1)+a(k-2)-4*a(k-3)+a。
例子
n=6,k=6的一些解:
.-3...-4...-5...-5...-6...-5...-4...-2...-4...-5...-4...-4...-3...-6...-5...-5
..0...-3...-4...-3...-1....1....2...-2...-2....1...-1....1....3....0...-1....1
..0....3....1....3....2....5....5....1....3....1....4....3....0....4....0...-2
.-1....5....5....2....3....2...-1....2....2....1....0....4....0....2....5....0
..1....1....4....2....3...-4....0...-2...-1....2....2...-1...-2....2....2....6
..3...-2...-1....1...-1....1...-2....3....2....0...-1...-3....2...-2...-1....0
交叉参考
关键词
非n,
作者
R.H.哈丁2012年3月4日
状态
经核准的