[seqfan] Re: A198161 through A198177
franktaw at netscape.net
franktaw at netscape.net
Mon Oct 24 02:14:34 CEST 2011
At least A104824 and A104825 listed in the cross-references, do allow
leading zeros.
Franklin T. Adams-Watters
-----Original Message-----
From: Harvey P. Dale <hpd1 at nyu.edu>
I'm pretty confident that each of the sequences in question (and
hopefully all of them are listed within the cross references to each of
them) are derived without leading zeroes. If someone could check that
and let me know if that's wrong, I'll fix each one that doesn't comply
with that rule.
I'll add a comment to each one stating that leading zeroes are
not permitted, so that each term in the sequence has an integer length
equal to xx.
Harvey
-----Original Message-----
From: seqfan-bounces at list.seqfan.eu
In my opinion, (1) we should definitely have comments about leading
zeros in these sequences. (2) I think we should have all the sequences
that do not allow leading zeros. The ones with leading zeros I don't
see any need for, but if someone thinks they should be there, I would
have no objection.
Franklin T. Adams-Watters
-----Original Message-----
From: Harvey P. Dale <hpd1 at nyu.edu>
Franklin's comments raise two questions: (1) should comments be
added to the sequences to state whether leading zeroes are permitted and
(2) should new sequences be added so that both versions (with and
without leading zeroes) appear for each xx and each yy?
Harvey
-----Original Message-----
From: seqfan-bounces at list.seqfan.eu
There are actually two different sequences for each xx > 1: one allows
leading zeros, and the other does not. The sequences in the database
include both variants for values of xx, but others have only one or the
other, not always the same one.
I am in the process of submitting A198187: Primes from the decimal
expansion of pi, sorted first by the final digit index and then by
length. This falls into the category of "I'm surprised it wasn't
already there." (This sequence does not allow leading zeros, as this
would just duplicate those primes preceded by zeros.)
I will submit similar sequences for e, phi, and sqrt(2).
Franklin T. Adams-Watters
-----Original Message-----
From: Harvey P. Dale <hpd1 at nyu.edu>
In response to Neil's comments, I have submitted the above
sequences so that now there are sequences in the OIES for "Primes from
merging of xx successive digits in the decimal expansion of yy" for all
xx=2 through 10 and for all yy = pi, e, phi (GoldenRatio), and sqrt(2).
I would be grateful for any comments that would clarify or improve these
sequences.
Best,
Harvey
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