[seqfan] Ian Hutchinson's EckXOR sequence

[Neil Sloane]

Dear SeqFans, Ian Hutchinson mentioned a variant of Van Eck's sequence here
the other day. It is now A340488, and Remy Sigrist and I have been studying
it.  There are three subsidiary seqs A340494, -495, -496. It looks rather
more understandable than the original Van Eck sequence.

There is even a conjectured formula for the positions of the record high
points.
And the graph suggests that there just might perhaps possibly be a
recurrence for the sequence itself. Look at the way those blocks of terms
stack up.

I'm calling it the EckXOR sequence  (short for "variant of Van Eck sequence
based on the XOR operation")

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