Some of the sequences being studied (like the example in the summary) use formulations developed from base 10 numbers. Have you explored other bases, in particular prime number bases, or perhaps a rational fraction or even irrational/transcendent number? If so, were there any interesting surprises?
That sequence is in the database as http://oeis.org/A047778 [oeis.org] since at least 1999.
Funny, just one month ago, Neil Sloan asked "the smallest prime in this sequence is 485398038695407. What is the full subsequence of primes?"
For the moment, the first is also the only prime known in this sequence.
"Those who will be able to conquer software will be able to conquer the
world."
-- Tadahiro Sekimoto, president, NEC Corp.
Base 10 sequences, other bases of interest? (Score:5, Interesting)
Some of the sequences being studied (like the example in the summary) use formulations developed from base 10 numbers. Have you explored other bases, in particular prime number bases, or perhaps a rational fraction or even irrational/transcendent number? If so, were there any interesting surprises?
Re: (Score:2)
I just tried his sequence but in base 2 (since I'm a programmer!)
1, 10, 101, 1010, 10101, 101010, etc...
The pattern is boring, each binary value in the sequence, when converted in decimal, repeats the following:
previous value x 2
previous value x 2 + 1
The same list in decimal:
1, 2, 5, 10, 21, 42, etc...
Re:Base 10 sequences, other bases of interest? (Score:2)
Re: (Score:2)
Yes I'm a good programmer, I work in assembly you insensitive clod!
Like I did mention in my reply, I read the summary too fast, and tought that it was another sequence.
Well, it turns out that the sequence I was thinking about exists: https://oeis.org/A057137/ [oeis.org]
There! :-p
Re: (Score:1)