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Topic: Autobiographical / curious numbers (Read 932 times) |
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Benny
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Autobiographical / curious numbers
« on: Oct 7th, 2009, 10:05am » |
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I came across Autobiographical Numbers on Tanya Khovanova’s Math Blog
and on arxiv file
The formal definition is : an autobiographical number is a number N such that the first digit of N counts how many zeroes are in N, the second digit counts how many ones are in N and so on. In our example, 1210 has 1 zero, 2 ones, 1 two and 0 threes.
the autobiographies can not have more than 10 digits
1210 is the smallest autobiographical number.
Tanya Khovanova wrote:
Quote:
... I would vote against the name curious, and time will show us which name sticks better to this sequence.
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Why does she say that?
The On-Line Encyclopedia of Integer Sequences doesn't seem to make a distinction between curious and autobiographical numbers
http://www.research.att.com/~njas/sequences/?q=curious+numbers&sort= 0&fmt=0&language=english&go=Search
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| « Last Edit: Oct 7th, 2009, 10:06am by Benny » |
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If we want to understand our world — or how to change it — we must first understand the rational choices that shape it.
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