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#1 2012-10-30 17:58:58

Still learning

Continued fraction

Every number has continued fraction form,let us call it{a0,a1,a2,a3,...},and also a engel expansion form,let us call it{b1,b2,b3,...},these sets are both lots of fraction's denominator.there is a formula for bk,my question is that are there any formula for ak?

#2 2012-10-30 18:43:58

From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Continued fraction


Yes there is a formula for generating a continued fraction.

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.


#3 2012-10-30 21:05:10

Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,507

Re: Continued fraction

“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment


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