[seqfan] Re: Offsets for Recurrence Sequences
N. J. A. Sloane
njas at research.att.com
Thu Apr 23 18:10:28 CEST 2009
Creighton, the OEIS policy is to start a sequence at the earliest
reasonable point, but no earlier
The Fibs could have begun 1 1 2 3 ... or 1 2 3 5 8 ..., but the
universally accepted version starts 0 1 1 2 3 5 8 ... and there are very
good reasons for this
(having to do with theorems that say that F(n) has
some property iff n has some other property
The situation with regard to the Lucas numbers is quite different.
There are good reasons for having them begin 1 3 4 7 ...
and also for 2 1 3 4 7 ... . Especially because the OEIS
is arranged lecicographically acc. to the first term > 1 in magnitude.
so whereas all the versions of the Fibs would appear in the same place in
the ordering, the Lucas numbers could appear in two different places.
Neil
More information about the SeqFan
mailing list