Jell0020

The Brady Sequence

The Brady sequence:

2.308 - 4.261 - 6.569 - 10.830 - 17.399 - 28.229 - 45.628 - 73.857 - 119.485 - 193.342 - 312.827 - 506.169 - 818.996 - 1.325.165 - ...

Just like the Fibonacci Sequence, you can take the ratio of two of the terms. The higher the two numbers you calculate, the more precise "golden ratio" you get:

$X(n-1)/Xn=GoldenRatio$

$818996/1325165=0,6180332260510955...$

but the Brady sequence have more properties sutch as:

$E=Even$

$O=Odd$

$E,O,O,E,O,O,E,O,O,E,O,O,E,O,O,E,O,O.$

But of course these numbers have this property. the number $Xn=X(n-1)+X(n-2)$. So it makes sense that all of these sequences have this propperty. Although they might have different vertions.

You can learn more of this kind of maths at Numberphile [1] (Subscribe, I highly recomend it ;D)