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?
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: (Score:2)
Re:Base 10 sequences, other bases of interest? (Score:0)
Thanks! I looked at Toshito's msg and thought WTF?! Your sequence seems to be correct.
Do you suppose he's a very good programmer?
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