Six Sequences - Numberphile
437,274
Published 2013-07-22
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.com/DrTonyPadilla
Here's each sequence on the OEIS:
Khintchine's constant: oeis.org/A002210
Wieferich primes: oeis.org/A001220
Golomb's sequence: oeis.org/A001462
Largest metadrome in base n: oeis.org/A023811
All 7's: oeis.org/A010727
Wild Numbers: oeis.org/A058883
The Aperiodical: aperiodical.com/
Brown Papers: bit.ly/brownpapers
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All Comments (21)
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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.
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i could tell khinchin's constant was his fave he went on about it much more than the others
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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
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It would seem to me that the constants in the continued fraction expansion of Khinchin's constant would be more meaningful than the decimal expansion.
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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.
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Shout-out to Ireland!
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In the video description there are links to all the sequences, a chance to vote for a winner and other stuff...
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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?
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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"
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I love how Tony's collar was popped for most of this.
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for the wild numbers, just add 0.5.
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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
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2:53 But I thought God's Number was 20... James Grime was in your video on it...
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numbers are just awesome......what a beauty...
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My favorite integer sequence is and will forever be the look and say sequence.
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Could you do a video on the Tree function? I've looked up some things about it but it's over my head without intense explanation. Mostly about TREE(3) and how it compares to grahams number and other big numbers.
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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.
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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...
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Could you do a video on A027746? It's a list of n by prime factors.
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I knew it was the first one, because I knew he would just be able of holding himself in the sequence he liked the most if it was presented first.
