[seqfan] Re: Percentage of digits used so far

[Jack Brennen]

I wrote a Python program to explore the sequence and computed
over 10,000,000 terms without the sequence entering a loop.  It
exhibits some short term looping, but the loops don't last
long.

Also, note that the sequence seems to start:

100, 50, 66, 25, 60, 16, 28, 12, 22, 30, 36, 16,
30, 14, 6, 18, 17, 22, 26, 5, 23, 9, 21, 16, 24, 11

where the first line matches yours, but the second line
starts to deviate from your (hand-computed?) sequence.

For the 13th term, the 13th digit of the sequence is 6,
which has been used 4 times out of 13 up to that point:
30.76% which truncates to 30, not 6 times (which would
truncate to 46).


- Jack



On 11/16/2015 3:38 PM, Eric Angelini wrote:
>
> Hello SeqFans,
> a recent post by Lee Sallows (link at
> the end of this msg) gave me the idea of P;
>
> P=100,50,66,25,60,16,28,12,22,30,36,
> 16,46,14,6,6,17,22,26,5,23,9,21,16,24,
> 3,25,17,6,23,29,18,3,...
>
> The p(n)th integer of P is the fraction A/B (in percents, decimals erased) with:
> A = the number of times we have
> used the (n)th digit of P so far;
> B = the overall quantity of digits used
> so far to write P.
>
> Example:
> 100 means that we have used one "1"
> to write 1 digit so far --> 1/1 is 100%
> 50 means that we have used one "0"
> to write 2 digits so far --> 1/2 is 50%
> 66 means that we have used two "0"
> to write 3 digits so far --> 2/3 is 66%
> 25 means that we have used one "5"
> to write 4 digits so far --> 1/4 is 25%
> 60 means that we have used three "0"
> to write 5 digits so far --> 3/5 is 60%
> 16 means that we have used one "6"
> to write 6 digits so far --> 1/6 is 16%
> 28 means that we have used two "6"
> to write 7 digits so far --> 2/7 is 28%
> 12 means that we have used one "2"
> to write 8 digits so far --> 1/8 is 12%
> 22 means that we have used two "5"
> to write 9 digits so far --> 2/9 is 22%
> 30 means that we have used three "6"
> to write 10 digits so far --> 3/10 is 30%
> ...
>
> Does P enter into some kind of loop
> at some point?
> Best,
> É.
>
> Lee's link:
> http://www.futilitycloset.com/2015/11/16/a-new-pangram/
>
> Catapulté de mon aPhone
>
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