The On-Line Encyclopedia of Integer Sequences
1–10 of 21 posts
Re: The On-Line Encyclopedia of Integer Sequences
#2It's weird because this awesome site (well worth checking out) has been submitted about 10 times here and never got any comments except for this time: https://news.ycombinator.com/item?id=2496629 .. it's like there's not much to say about integer sequences or something ;-)
Quippery aside, there was an interesting question on Mathematics Stack Exchange about Arthur C Clarke's The 9 Billion Names of God and the OEIS: http://math.stackexchange.com/questions/34237/the-9-billion-...
Re: The On-Line Encyclopedia of Integer Sequences
#3That site is more than 15 years old. I don't know how anyone is still discovering it for the first time.
Re: The On-Line Encyclopedia of Integer Sequences
#4If you make a plot of how many different sequences a particular number appears in in this database, a rather interesting pattern emerges.
Some numbers appear frequently, as you would expect (primes, numbers 1 off from prime, etc) while others appear infrequently, but in general there is a downward trend as the numbers become larger. That is all expected; what isn't expected is that there seems to be a break between common numbers and uncommon numbers. A very distinct break. The theory is that social prejudices towards certain bases and certain numbers have caused mathematicians to find more sequences with numbers that they "like" than those that they don't. So for example, numbers that look neat in base 10, say "3333" or "4444" get special treatment and tend to occur in more sequences.
The paper on this weird distribution is rather accessible, I recommend it: http://arxiv.org/abs/1101.4470 Page 4 has the pretty plot.
Re: The On-Line Encyclopedia of Integer Sequences
#5That site is more than 15 years old. I don't know how anyone is still discovering it for the first time.
Today I listened to the album The Rise and Fall of Ziggy Stardust for the first time. It was released in 1972. Is it really that bewildering to you that not everyone has seen everything that exists already?
Re: The On-Line Encyclopedia of Integer Sequences
#6That site is more than 15 years old. I don't know how anyone is still discovering it for the first time.
Today I listened to the album The Rise and Fall of Ziggy Stardust for the first time. It was released in 1972. Is it really that bewildering to you that not everyone has seen everything that exists already?
"You're one of today's lucky 10,000!" http://xkcd.com/1053/
Re: The On-Line Encyclopedia of Integer Sequences
#7That site is more than 15 years old. I don't know how anyone is still discovering it for the first time.
New people are born every day.
Re: The On-Line Encyclopedia of Integer Sequences
#8If you make a plot of how many different sequences a particular number appears in in this database, a rather interesting pattern emerges. Some numbers appear frequently, as you would expect (primes, numbers 1 off from prime, etc) while others appear infrequently, but in general there is a downward trend as the numbers become larger. That is all expected; what isn't expected is that there seems to be a break between c…
Numberphile did an episode about Sloane's Gap [0].
Re: The On-Line Encyclopedia of Integer Sequences
#9If you make a plot of how many different sequences a particular number appears in in this database, a rather interesting pattern emerges. Some numbers appear frequently, as you would expect (primes, numbers 1 off from prime, etc) while others appear infrequently, but in general there is a downward trend as the numbers become larger. That is all expected; what isn't expected is that there seems to be a break between c…
Numberphile did an episode about Sloane's Gap [0]. [0] https://www.youtube.com/watch?v=_YysNM2JoFo
Aye, the Numberphile video is fantastic; that's actually where I first found out about this. :) All their videos tend to be great; they're done by the same film-maker that does the "Periodic Videos" youtube channel, Brady Haran.
Re: The On-Line Encyclopedia of Integer Sequences
#10That site is more than 15 years old. I don't know how anyone is still discovering it for the first time.
I rather like XKCDs "Lucky Ten Thousand" on this subject.
The idea is that simply because of birth rate for everything "everyone knows" there are an average 10,000 people per day are discovering it for the first time.
I've come across the archive before, but it's still neat.