|
| |
|
| A253004型 |
| T（n，k）=n X k个非负整数数组的个数，左上0，右下0，其主移动距离减3，在其主移动距的3以内的每个值都从左上移动距离，每个值都向右、对角或向下增加0或1。 |
|
7
|
|
|
|
0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 4, 1, 0, 1, 4, 10, 14, 1, 1, 14, 10, 20, 55, 34, 1, 34, 55, 20, 35, 140, 279, 69, 69, 279, 140, 35, 56, 285, 1028, 1132, 69, 1132, 1028, 285, 56, 84, 506, 2601, 7235, 3072, 3072, 7235, 2601, 506, 84, 120, 819, 5318, 25233, 39758, 3072
(列表;桌子;图表;参考;听;历史;文本;内部格式)
|
|
|
|
偏移
|
1,11
|
|
|
链接
|
罗伯特·道赫特·布利斯和曼努埃尔·考尔斯，哈迪尼阵列，arXiv:2309.00487[math.CO]，2023。哈迪尼阵列《El.J.Combinat》。31（2）（2024）#P2.9
|
|
|
配方奶粉
|
k列的经验值：
k=1:a（n）=（1/6）*n^3-1*n^2+（11/6）*n-1。
k=2:a（n）=（8/3）*n^3-26*n^2+（253/3）*n-91，对于n>2。
k=3:a（n）=（160/3）*n^3-708*n^2+（9539/3）*n-4831，对于n>4。
k=4:a（n）=（4096/3）*n^3-22816*n^2+（388490/3）*n-249567，对于n>6。
k=5:a（n）=（133120/3）*n^3-893616*n^2+（18332582/3）*n-14187577，对于n>8。
k=6:a（n）=（5242880/3）*n^3-41275392*n^2+（99610656/3）*n-897487301，对于n>10。
k=7:a（n）=（235012096/3）*n^3-2126491008*n^2+（58625640404/3）*n-60801081325，对于n>12。
|
|
|
例子
|
表格开始：
..0...0....0......1.......4.......10........20.........35.........56.........84
..0...0....0......1......14.......55.......140........285........506........819
..0...0....0......1......34......279......1028.......2601.......5318.......9499
..1...1....1......1......69.....1132......7235......25233......63135.....129133
..4..14...34.....69......69.....3072.....39758.....228484.....775433....1932763
.10..55..279...1132....3072.....3072....122833....1486152....8270017...27983105
.20.140.1028...7235...39758...122833....122833....4915726...59154789..329035981
.35.285.2601..25233..228484..1486152...4915726....4915726..204051186.2492354946
.56.506.5318..63135..775433..8270017..59154789..204051186..204051186.8849413857
84.819.9499.129133.1932763.27983105.329035981.2492354946.8849413857.8849413857
n=6和k=4的一些解决方案：
..0..0..1..2....0..0..1..2....0..0..1..2....0..0..1..1....0..0..1..1
..0..0..1..2....1..1..1..2....0..0..1..2....0..0..1..1....0..1..1..1
..1..1..1..2....1..1..2..2....0..0..1..2....0..1..1..2....1..1..1..1
..1.1.2.2.2.2.2.2.2.2.2...0.1.1.2.1.1.1.1.2.1.2.1.1.1.1.2.1.1.1.1.2.1.1.1.2.2.1.1.1.1.2.2
..2..2..2..2....2..2..2..2....1..1..1..2....1..1..1..2....1..2..2..2
..2..2..2..2....2..2..2..2....2..2..2..2....2..2..2..2....2..2..2..2
|
|
|
交叉参考
|
|
|
|
关键词
|
|
|
|
作者
|
|
|
|
状态
|
经核准的
|
| |
|
|
