I'm bored so…
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…come be bored with me!
Anybody else know this number sequence?
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211
Next line please? And so forth. To infinity and beyond :D -
13211311123113112211
11131221133112132113212221 -
We usually just write the rule down.
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Look and say sequence for n=1. Look it up.
For the nerd^H^H^H^Hmathematically inclined, this type of sequences have some amazing "chemical" properties:
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Just say out loud what you see in the last line to find out what will be the next one.
If we start with the first line, it's written 1.
I say out loud what I see and write it down: I see one one -> 11
I say out loud what I see and write it down: I see two one -> 21
I say out loud what I see and write it down: I see one two and one one -> 1211
I say out loud what I see and write it down: I see one one and one two and two one -> 111221
etc…Got it?
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It reminds me of a danish drinking game.
First guy " I was drinking tea with the chinese emperor, and I brought with me, a box of thunderlambs."
Next guy "I was drinking tea with the chinese emperor, and I brought with me, a box of thunderlambs, and a big dusty book"
Third guy "I was drinking tea with the chinese emperor, and I brought with me, a box of thunderlambs, a big dusty book, and a wooden chair"
First guy "I was drinking tea with the chinese emperor, and I brought with me, a box of thunderlambs, a big dusty book, a wooden chair, and a loaf of hair from a werewolf"
The first who breaks the sequence, loses, and has to drink.
There, something for you kids to use the weekend trying to master.