If you're unfamiliar with the idea, there's a good piece online from Quanta Magazine talking with Sloane about the website.
About a year and half ago, I started working on a chapter for my now-cancelled Kickstarter book called, "Babyface, Heels and Graph Theory". One of things I wondered was how many "traditional" pro-wrestling matches were possible were possible with
I go into greater detail in the PDF (I put the work-in-progress chapter up for free via PayHip yesterday), but when I asked a math professor friend for help, he explained that the sum of the partitions we were calculating was actually the same as a OEIS sequence #A023998.
If you had 8 wrestlers (4 faces, 4 heels) and followed the conditions that I outline (book them in matches where each team is only compromised of babyfaces or heels and everyone wrestles once in either a singles, tag or multi-man tag match), you find there's 131 different "cards" you can put together (before you start accounting for the order on the card). By the time you have a dozen wrestlers, there's well over twenty thousand. And then things start growing even more rapidly.
|
n
|
wrestlers
|
cards
|
|
1
|
2
|
1
|
|
2
|
4
|
3
|
|
3
|
6
|
16
|
|
4
|
8
|
131
|
|
5
|
10
|
1,496
|
|
6
|
12
|
22,482
|
|
7
|
14
|
426,833
|
|
8
|
16
|
9,934,563
|
|
9
|
18
|
277,006,192
|
|
10
|
20
|
9,085,194,458
|
|
11
|
22
|
345,322,038,293
|
|
12
|
24
|
15,024,619,744,202
|
Links:
http://oeis.org/ - Online Encyclopedia of Integer Sequences
https://www.quantamagazine.org/20150806-neil-sloane-oeis-interview/ - interview with OEIS creator Neil Sloane
https://payhip.com/b/dmpT - a free 10-page from the chapter that was going to be, "Babyfaces, Heels and Graph Theory"
http://oeis.org/ - Online Encyclopedia of Integer Sequences
https://www.quantamagazine.org/20150806-neil-sloane-oeis-interview/ - interview with OEIS creator Neil Sloane
https://payhip.com/b/dmpT - a free 10-page from the chapter that was going to be, "Babyfaces, Heels and Graph Theory"
No comments:
Post a Comment