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?
I tought his sequence was listing all the numerical symbols sequentially, adding a digit each time, and repeating when all the symbols have been used. Thus having 1234567890123...etc...
Now I see that after 9 it's ten, eleven,twelve, etc...
So in binary it's indeed
1, 110, 11011, 11011100, etc...
Thanks!
"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:0)
1, 10, 101, 1010, 10101, 101010, etc...
What??
1, 110, 11011, 11011100, 11011100101, etc... That's his sequence in binary.
Re: (Score:2)
Yes, I see my error.
I tought his sequence was listing all the numerical symbols sequentially, adding a digit each time, and repeating when all the symbols have been used. Thus having 1234567890123...etc...
Now I see that after 9 it's ten, eleven ,twelve, etc...
So in binary it's indeed
1, 110, 11011, 11011100, etc...
Thanks!