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Six Sequences - Numberphile

Numberphile

451,563 views

Which of these number sequences do you like best? Vote at http://bit.ly/IntegestVote
The extra bit of footage is at: Tony's Favourite Number Sequence
More links & stuff in full description below ↓↓↓

This video features Tony Padilla from the University of Nottingham: Twitter: DrTonyPadilla

Here's each sequence on the OEIS:
Khintchine's constant: http://oeis.org/A002210
Wieferich primes: http://oeis.org/A001220
Golomb's sequence: http://oeis.org/A001462
Largest metadrome in base n: http://oeis.org/A023811
All 7's: http://oeis.org/A010727
Wild Numbers: http://oeis.org/A058883

The Aperiodical: http://aperiodical.com/

Brown Papers: http://bit.ly/brownpapers

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20 Comments

@Majorohminus 13 years ago

my favorite sequence is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10... its the natural sequence and its perfect. the number in the nth position is n and its the first sequence anyone learns.

@m3ntalcas3 10 years ago

i could tell khinchin's constant was his fave he went on about it much more than the others

@RedRad1990 6 years ago

Tony Padilla: "I'm not going to tell you which one I like best"
also Tony Padilla: proceeds and starts by talking about his fav
no hints XD

@overwrite_oversweet 12 years ago

This virol ad said something like 95% of YouTube vid get less than 1000 views and my first reaction was "wow so many YouTube vids get over 1000 views"

@numberphile Creator 13 years ago

Shout-out to Ireland!

@Ensivion 13 years ago

I love how Tony's collar was popped for most of this.

@unecomedy13 12 years ago

for the wild numbers, just add 0.5.

@PC_Simo 2 years ago

9:11 There IS an equation to that: a(n) = 7; and it rhymes, too 😊.

@smoorej 6 years ago

Khinchin’s constant is absolutely mind blowing. That any continued fraction expansion of “almost all” numbers gives you Khinchjn’s constant is just jaw-dropping. Question: is the “almost all” numbers all real numbers except the rationals?

@AymanB 13 years ago

Solomon Golomb ! That is a great name.

@Epaminaidos 13 years ago

The one I like most:
1, 11, 21, 1211, 111221, ...

@patrickmckinley8739 2 years ago

A086703. The continued fraction of Levy's constant. Levy's is closely related to Khinchin's. This constant also embodies a property of the continued fraction of almost all numbers - and this sequence is itself a continued fraction. We say "almost all" numbers. Just to expand on this, the exceptions are somewhat intriguing. Any number that is a root of a quadratic does not comply. Also, Euler's number e.

@anticorncob6 13 years ago

One of my favorite number sequences is this:
2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 19, 23, 25, 29, 31, 37, 41, 43, 47, etc.
It's all the primes, plus all the values of p^(2^n) where p is prime and n is a positive integer. With these numbers, every other number can be written as a unique product of these, without repeats. For instance 99 = 11 * 9, that's the "factorization" and there's no other way to do it.

@ajeydevadiga6652 10 years ago

numbers are just awesome......what a beauty...

@Spitzenhund 13 years ago

Its a nice technique that helps with concentration. We are trained to see brown as a constructive material so writing on it makes us think we are doing more than just writing on paper. The tactile sound and feel of the paper also helps with concentration and I honestly think it sounds nice and prefer it over just normal paper or a white board

@DoggyDogWhirl 9 years ago

2:53 But I thought God's Number was 20...
James Grime was in your video on it...

@numberphile Creator 13 years ago

Do you know what - I kind of get it and never really mind it.... It is human nature to get a thrill from being first (or among the first) to do or see something...

@whatno5090 9 years ago

My favorite integer sequence is and will forever be the look and say sequence.

@ChristianPerfect 13 years ago

Thanks for your votes, everyone! Golomb's sequence won the vote, but the only sequence we could fit on the trophy was the Wieferich primes so we said that won instead.
Look at the trophy on The Aperiodical, it's magnificent.