[seqfan] Re: OEIS Wiki: Offsets

[Frank Adams-Watters]

Note that A001057 is the canonical sequence of all the integers. If you want to input a sequence defined on the entire integers as a single sequence, the preferred way to do it is to enter terms in this order.

On the other hand, some sequences defined on the entire integers are entered as two separate sequences: one with the non-negative indices, and another with the negative ones. See, for example, A000045 and A039834.

Franklin T. Adams-Watters

-----Original Message-----
From: Rick Shepherd <rlshepherd2 at gmail.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Mon, Apr 13, 2015 10:43 pm
Subject: [seqfan] Re: OEIS Wiki: Offsets


While considering our unwritten assumptions, I realized that I don't recall
ever
seeing instructions for offset usage that explicitly say the index
always
increases beginning with the offset value (at least for non-cons
seqs). Is there
a need to document the preferred way of submitting a
sequence whose indices are,
say, only negative (or to discourage this)?
Similar question for would-be
sequences whose indices can be all the
integers...

In fact, if I didn't just
overlook them, the OEIS doesn't contain a
sequence called "The integers" or "The
nonzero integers".  Nevertheless, I
can imagine someone possibly searching for
-4,-3,-2,-1,0,1,2,3,4, expecting
to find the former at least (By the way, this
would seem to be an excellent
candidate for A000000 if such sequences were
permitted (and if A000000 were
a valid A-number)).

Best
regards,
Rick

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