::blinks::

[logicium]

(1) i bought these really aromatic pink+white roses that i've been smelling all day. *sigh* (2) a clean room! yay! (3) continued fractions rock. (4) and does mathworld.wolfram.com (5) this time when i cleaned my room i found lots more money than last time--and new AA batteries! both will be enjoyed muchly. (6) gingerbread from Marvelous Market is

Comments

damn boredom.

[logicium]

this series isn't so crazy, but its applications are.

|| | || | | || || | | || ||| | | || || || | | || ||||| | | || || ||| | | || ||||||| | | || || || || | | || ||| ||| | | || || ||||| | |

-> 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 3, 1, 1, 2, 2, 2, 1, 1, 2, 5, 1, 1, 2, 2, 3, 1, 1, 2, 7, 1, 1, 2, 2, 2, 2, 1, 1, 2, 3, 3, 1, 1, 2, 2, 5, 1, 1, ...

try grouping the numbers in between the periodic double 1's
-> 2, 1, 2, 1, 1, (2, 2), 1, 1, (2, 3), 1, 1, (2, 2, 2), 1, 1, (2, 5), 1, 1, (2, 2, 3), 1, 1, (2, 7), 1, 1, (2, 2, 2, 2), 1, 1, (2, 3, 3), 1, 1, (2, 2, 5), 1, 1, ...

you may notice that they look like factors: 2,2: 4; 2,3: 6; 2,2,2: 8, and so on...
so, the series is;
2, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, 14, 1, 1, 16, 1, 1, 18, 1, 1, 20, 1, 1, ...

one cool thing about this series is it's the continued fraction representation of the value of e (2.71828..)

e is cooler than (hmm..) my tongue on a flagpole on christmas day.

Re: damn boredom.

[lolabrandywine]

hey! that's me!

[logicium]

(heheeher)

[anonymous]

friendster.com is cool, but not cool enough for you to link to it?

[lolabrandywine]

check it out

[evilfluffybunny]

I want an 80's mix CD! Make meeeeeeeee one!

[logicium]

okay minxy, check out version 1.