Bottema Article on Malfatti Problem

[David W. Wilson]

"Antreas P. Hatzipolakis" wrote:
> 
> Oene Bottema (1901-1992), the great Dutch geometer, published several
> articles in the Dutch periodical _Euclides_. Among them is one on Malfatti
> Problem:
> 
> O. Bottema: Verscheidenheden XXVI. Het vraagstuk van Malfatti.
> Euclides 25 (1949-50), pp. 144-149. [in Dutch]
> 
> Jan P. Hogendijk kindly sent me a photocopy of the article, which I typed
> and put in my web pages. Its URL is:
> 
>          http://users.hol.gr/~xpolakis/bottema/malfatti.html
> 
> Bottema generalizes Malfatti Problem, and gives interesting sequences
> of circles. In these sequences appear two recursive integer sequences:
> 
> ------
> 
> a(n): 0,16,160,1600,15840,....
> 
> a(1) = 0, a(2) = 16
> a(2p+1) = 10a(2p) - a(2p-1)
> a(2p) = 10a(2p-1) - a(2p-2) + 16
> 
> ------
> 
> b(n): 2, 20, 198, 1960, .....
> 
> b(1) = 2, b(2) = 20
> b(k) = 10b(k-1) - b(k-2)
> 
> Antreas

a is new, b is A001078.
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