[seqfan] Conjectured Recaman-type permutation
Peter Munn
techsubs at pearceneptune.co.uk
Tue Jul 26 16:52:27 CEST 2022
Hi seqfans,
Following the earlier thread (see below), Ali Sada and I have agreed the
best place to start is a sequence as envisaged in the second comment in
A078943. I have devised a definition and am prepared to conjecture the
resulting sequence is a permutation. If anyone wants to contribute, this
is being drafted as A356080.
Peter
---------------------------- Original Message ----------------------------
Subject: [seqfan] Re: Is this permutation of the positive integers
achievable?
From: "Ali Sada via SeqFan" <seqfan at list.seqfan.eu>
Date: Wed, July 20, 2022 10:10 am
--------------------------------------------------------------------------
Thank you, Peter. I think it's the same. The difference might be that we
could start with any positive integer if 1 doesn't work.
[...]
On Wednesday, July 20, 2022, Peter Munn wrote:
On Mon, July 18, 2022 2:45 am, Ali Sada via SeqFan wrote:
> Hi everyone,
> a(n) is the least positive integer not occurring earlier in the sequence
> such that, if a(m) = a(n)+1, then |m - n| = a(n).
> We start with a(1) = 1, then a(2) = 2. We move ahead and get a(4) = 3, and
> a(7) = 4. Now we go back to a(3) = 5 and that forces a(8) to be 6, etc.
I think you might be trying to create something like the inverse of the
sequence envisaged in the second comment in A078943?
[...]
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