[seqfan] Re: Bob Selcoe's version of the EKG and Yellowstone permutations A064413 and A098550

[Vladimir Shevelev]

Dear Seqfans,

I remember Bob congratulated me in co-authors' correspondence
with A254077 he liked. However, there appeared difficulties with a proof
that it is a permutation of the natural numbers.
Now I am pleased to congratulate Bob who found so change of
the definition of A254077 that such difficulties disappeared and
the sequence A255582 became quite classic together with
A064413 and A098550!

Best regards,
Vladimir

________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Neil Sloane [njasloane at gmail.com]
Sent: 28 February 2015 19:40
To: Sequence Fanatics Discussion list
Subject: [seqfan] Bob Selcoe's version of the EKG and Yellowstone permutations A064413 and A098550

Dear Sequence Fans, Bob Selcoe recently submitted a lovely new sequence,
A255582.
Like A064413 (the EKG sequence) and A098550 (the Yellowstone Permutation,
subject of our recent arXiv:1501.01669) it is a permutation of the natural
numbers.
The definition is closer to that of A098550, but the graph is more like
that of A064413.  It would be nice to have a better understanding of
what is going on here!

Some associated sequences are A255479, A255480, A255481, A255482,
all of which need b-files, and A064664 (the inverse perm to the EKG
sequence A064413)  could
use at least a 10,000-term b-file.

Vladimir Shevelev's A254077 is of the same ilk, but here there is
no proof yet that it is a permutation of the positive integers: such a
proof is badly needed.
The cross-references in A098550 list many other related sequences that need
work.

This is all strawberry ice-cream for anyone who likes sequences.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com

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