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:
“The question of place and climate is most closely related to the question of nutrition. Nobody is free to live everywhere; and whoever has to solve great problems that challenge all his strength actually has a very restricted choice in this matter. The influence of climate on our metabolism, its retardation, its acceleration, goes so far that a mistaken choice of place and climate can not only estrange a man from his task but can actually keep it from him: he never gets to see it.”
—Friedrich Nietzsche (18441900)