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Successive powers 3/2 of in base 6. The leading digits in the fractional parts of these numbers form a sequence that seems random. The process of multiplication by 3/2 in base 6 corresponds to a k = 6 and r = 1, cellular automaton rule.

 

 

:D:D:D:D:D

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Successive powers of de5jly.gif in base 6. The leading digits in the fractional parts of these numbers form a sequence that seems random. The process of multiplication by de5jly.gif in base 6 corresponds to a 250v2px.gif, 2mgsf1v.gif cellular automaton rule.

 

EDIT: rofl we own epidemic

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haha A+ u both get extra credit

 

1. What row of numbers comes next in this series?

 

1

11

21

1211

111221

312211

13112221

 

The first row - 1 - contains one 1 -> 11

11 contains two 1's -> 21

21 contains one 2, one 1 ->1211

1211 contains one 1, one 2, two 1's ->111221

etcetera.

Building on that theory, it would go

 

111221 contains three 1's, two 2's, one 1-> 312211

312211 contains one 3,one 1,two 2's two 1's->13112221

13112221 contains one 1,one 3,three 2's, one 1,

 

therefore the next sequence of numbers would be ->1113213211

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The first row - 1 - contains one 1 -> 11

11 contains two 1's -> 21

21 contains one 2, one 1 ->1211

1211 contains one 1, one 2, two 1's ->111221

etcetera.

Building on that theory, it would go

 

111221 contains three 1's, two 2's, one 1-> 312211

312211 contains one 3,one 1,two 2's two 1's->13112221

13112221 contains one 1,one 3,three 2's, one 1,

 

therefore the next sequence of numbers would be ->1113213211

 

i am thouroughly impressed!

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