[seqfan] Re: Offsets of Large Integers Decomposed into Decimal Digits

[M. F. Hasler]

The "right-to-left" "decimal expansion" is termed 10-adic expansion.
There are already some such sequences. (I completely agree with
Charles that these are not "cons" sequences, unless one considers
"reversal of..." - but then again its no more right-to-left".)

But I can't see why the left-to-right decimal expansion of an integer
would not fit into the general scheme of "cons" (with "fini") -- of
course, it would "fit" better if the conventions for the "cons" were
not so weird, but this weirdness is independent of "integer vs.
rational or irrational number" and is to (& will) be fixed "once for
all" (the sooner the better, but progress cannot be stopped, only
slowed down).
Except for indexing the digits of, say, 123456789, not from 1 to 9,
but from -8 to 0 (for the 10^8 through 10^0 digit), this yields
exactly the same sequence -- only the offset would differ, and instead
of being ("uselessly") equal to 1, it would yield the "weight" of the
first digit.

Maximilian

On Mon, Jun 16, 2014 at 8:18 PM, Charles Greathouse
<charles.greathouse at case.edu> wrote:
> I also think that these representations shouldn't get keyword:cons. Or
> rather, they could have keyword:cons but then the description would need to
> be something like "Decimal expansion of the reverse of ___." with the same
> large offset.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
>
> On Mon, Jun 16, 2014 at 12:59 PM, Frank Adams-Watters <franktaw at netscape.net
>> wrote:
>
>> I don't think so. One still might want to enter a large integer with the
>> leading digits, instead of or in addition to entering it with the trailing
>> digits.
>>
>> Franklin T. Adams-Watters
>>
>>
>> -----Original Message-----
>> From: Neil Sloane <njasloane at gmail.com>
>> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
>> Sent: Mon, Jun 16, 2014 8:59 am
>> Subject: [seqfan] Re: Offsets of Large Integers Decomposed into Decimal
>> Digits
>>
>>
>> The combination of keywords cons and fini would seem to do the job.
>>
>>
>> On Mon, Jun 16, 2014 at 9:42 AM, Hans Havermann <gladhobo at teksavvy.com>
>> wrote:
>>
>>  What if we had a separate (from "cons") keyword for these integer
>>> digit-decomposition sequences? Or would the combination of "fini" and
>>> "cons" be already sufficient?
>>>
>>> On Jun 16, 2014, at 7:15 AM, M. F. Hasler <oeis at hasler.fr> wrote:
>>>
>>> > My personal point of view is that integers should have the "fini" kw
>>> > and any "decimal expansion" should be c = sum_{i>=offset} a(i) /
>>>
>> 10^i