Related Integer Sequences
Height | N | ||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | |
1 | 1 | ||||||||||||||
2 | 1 | 1 | |||||||||||||
3 | 1 | 2 | 2 | 1 | |||||||||||
4 | 1 | 3 | 6 | 11 | 3 | ||||||||||
5 | 1 | 4 | 12 | 35 | 48 | 20 | |||||||||
6 | 1 | 5 | 20 | 79 | 199 | 281 | 133 | 2 | |||||||
7 | 1 | 6 | 30 | 149 | 543 | 1357 | 1903 | 1016 | 35 | ||||||
8 | 1 | 7 | 42 | 251 | 1191 | 4281 | 10561 | 15011 | 8520 | 455 | |||||
9 | 1 | 8 | 56 | 391 | 2278 | 10666 | 38015 | 93585 | 132697 | 79379 | 5804 | ||||
10 | 1 | 9 | 72 | 575 | 3963 | 22825 | 106461 | 377863 | 919365 | 1309756 | 814678 | 73232 | |||
11 | 1 | 10 | 90 | 809 | 6429 | 43891 | 252737 | 1174766 | 4126515 | 9981073 | 14250471 | 9123648 | 956354 | 6 | |
12 | 1 | 11 | 110 | 1099 | 9883 | 77937 | 533397 | 3064788 | 14141929 | 49337252 | 118420043 | 169332213 | 111050066 | 13032704 | 167 |
Sequences from The Online Encyclopedia of Integer Sequences of Neil Sloane:
- A058986 – maximum number of flips
- A067607 – number of stacks requiring the maximum number of flips (above)
- A078941 – maximum number of flips for a "burnt" stack
- A078942 – the number of flips for a sorted "burnt-side-on-top" stack
- A092113 – the above triangle, read by rows
Read more about this topic: Pancake Sorting
Famous quotes containing the word related:
“Just as a new scientific discovery manifests something that was already latent in the order of nature, and at the same time is logically related to the total structure of the existing science, so the new poem manifests something that was already latent in the order of words.”
—Northrop Frye (b. 1912)