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(来自的问候整数序列在线百科全书!)
A210545型 T(n,k)=只有在i-1出现至少k次后,才出现值i>0的n个非负整数数组的数目。 6
1, 1, 2, 1, 1, 5, 1, 1, 2, 15, 1, 1, 1, 4, 52, 1, 1, 1, 2, 9, 203, 1, 1, 1, 1, 4, 23, 877, 1, 1, 1, 1, 2, 8, 65, 4140, 1, 1, 1, 1, 1, 4, 17, 199, 21147, 1, 1, 1, 1, 1, 2, 8, 40, 654, 115975, 1, 1, 1, 1, 1, 1, 4, 16, 104, 2296, 678570, 1, 1, 1, 1, 1, 1, 2, 8, 33, 291, 8569, 4213597, 1, 1, 1, 1 (列表;桌子;图表;参考;;历史;文本;内部格式)
抵消
1,3
链接
里戈伯托·弗洛雷斯、何塞·拉米雷斯、法比奥·维兰迪亚和迭戈·维拉米扎,限制Dyck路径、Polyminoes和非交叉分区之间的一些联系,arXiv:2308.02059[math.CO],2023年。见第13页的表1。
配方奶粉
T(n,k)=1,如果n<=k else Sum_{i=0..n-k}二项式(n-k,i)*T(i,k)。证明人R.J.马塔尔在序列风扇邮件列表中。
例子
n=13k=4的一些解
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....0....0....1....0....0....1....1....0....1....1
..0....0....1....1....1....1....1....0....0....0....1....1....0....1....1....0
..1....0....0....1....1....1....0....1....1....0....0....0....0....1....1....0
..0....1....1....0....1....1....0....1....0....0....1....0....0....1....1....1
..1....1....0....0....1....2....1....1....0....1....1....0....0....1....2....1
..0....1....0....1....0....1....1....1....1....0....1....1....1....1....2....1
..0....1....0....2....1....0....0....1....1....0....2....0....1....1....2....1
..1....2....0....1....1....0....1....0....0....1....1....0....0....2....1....0
..0....2....1....0....2....0....0....0....2....1....2....1....0....0....0....1
表格开始
..........1.......1......1.....1....1...1...1
..........2.......1......1.....1....1...1...1
..........5.......2......1.....1....1...1...1
………15…………4……2……1……1……1…1
.........52.......9......4.....2....1...1...1
........203......23......8.....4....2...1...1
........877......65.....17.....8....4...2...1
.......4140.....199.....40....16....8...4...2
......21147.....654....104....33...16...8...4
.....115975....2296....291....73...32..16...8
.....678570....8569....857...177...65..32..16
…4213597…33825…2634…467…138…64…32
...27644437..140581...8455..1309..315.129..64
..190899322..612933..28424..3813..782.267.128
.1382958545.2795182.100117.11409.2090.582.257
交叉参考
囊性纤维变性。A000110号(第1列),A007476号(第2列),A210540型(第3列)。
关键词
非n,
作者
R.H.哈丁2012年3月22日
状态
经核准的

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