[seqfan] Need proof that Kimberling's A26185 = A198173
Neil Sloane
njasloane at gmail.com
Sat Feb 1 20:16:14 CET 2020
Dear Seq Fans, Michel Dekking (<a
href="https://arxiv.org/abs/2001.08915">Permutations
of N generated by left-right filling algorithms</a>, arXiv:2001.08915
[math.CO], 2020) recently showed that many of Clark's sequences which
appeared to be duplicates really were duplicates.
I have now processed all these pairs or triples or even quadruples of
identical-valued sequences and declared a dozen or more of these entries
to be duplicates with keyword "dead".
But one of these triples has a loose end. A026209 = A026185 is true,
but A026185 =? A198473 is an open question. The latter has a simple
definition:
If n even, then 2n. If n odd, then nearest integer to 2n/3.
but A026185 is not so easy to describe.
Could someone find a proof? Then we can merge the entries and declare one
more sequence to be "dead".
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