Brady Numbers - Numberphile

Part One of Golden Ratio Trilogy
More links & stuff in full description below ↓↓↓

The new "Brady Sequence" demonstrates why Fibonacci Numbers are not so special. Featuring Matt Parker.

All links to videos in this four-part trilogy:

NUMBERPHILE

Videos by Brady Haran

Thumbnail caricature of Brady by Knut Johannes Håland

[KasabianFan]

That does make the Fibonacci sequence non-special indeed, but it also makes the Golden Ratio look even more awesome!

[AlexKing-tghl]

2:53 that is one of the greatest 3’s in the history of numbers. It will be remembered

[hakkbak]

How Matt Parker keeps a straight face whilst these puns fly around still baffles me

[Chrnan]

If Numberphile ruined the Fibonacci sequence, and Vihart ruined pi, then will MinutePhysics ruin the Standard Model?

[YuTe]

Hearing Brady say "oooh are you serious?!" in excitement at 3:05 made my day. :)

[TakeWalker]

Brady's excitement at getting his own number series is adorable.

[pancakenukeisawesome]

Man the Fibonacci sequence is just a *parker square* of a sequence, isn't it?

[MMrandomdude]

The last four Brady numbers he wrote down start with 3, 5, 8, 13 (Fibonnaci numbers) so you could quickly see where the ratios were heading.

[ZipplyZane]

If you look at the generic version, though, each number is a the sum of the Fibonacci numbers being multiplied by your original numbers.

a, b, a+b, a+2b, 2a+3b, 3a+5b, 5a+8b, 8a+13b, 13a+21b, and so on. The  Fibonacci sequence is just a=b=1.

[AdasbaGamingChannel]

0:25 "They're famous for a *number* of reasons". Was the pun intended?

[tabularasa]

*cheats* starts sequence with 0 and 0.

[MegaDutchuch]

LOL. Estonia has the same population as the smallest seven digit Brady number.

[luckygozer]

I like to believe that in a hundred years from now mathematicians are still amazed by the wonderful sequence that is the brady numbers.

[poopthe]

I just tried the “letters to base 10” thing and found that the very first decimal digits of pi (literally 1-8) spell N O I Z E

[JakubWaniek]

69, 420, 489, 909, 1398, 2307...
These are the dank numbers.

[BlobVanDam]

Matt Parker's numberphile videos are always amazing.

[Chubtato]

Hey Brady, I love that you guys are uploading more and more.

[fwootbat]

Maybe worth noting (if it hasn't been noted before): For any two starting values a and b, the sequence becomes: a, b, a+b, a+2b, 2a+3b, 3a+5b, 5a+8b, ... Each pair of coefficients are consecutive Fibonacci numbers. So you can try to get away from Fibonacci, but he will keep following you! (And if you start with the assumption that F(n+1)/F(n) -> phi as n -> infinity, you can use the above to fairly easily prove that the same is true for any two starting numbers - the ratio of a:b doesn't matter.)

[tohopes]

0:25 They're famous for a "number" of reasons! Ah! Ah! Ah!

[Peter_]

I wrote a simple MatLab program that could check different initial values, where I had a for-loop go up to the 1000th value, and I tested the initial values -π and i, which is pretty much as far away as you can possibly get from ordinary natural digits, and even this gave me a value that was very close to the golden ratio.