[seqfan] Trying to understand the Inventory Sequence A342585
Neil Sloane
njasloane at gmail.com
Sat Nov 13 18:41:08 CET 2021
Dear SeqFans:
Here are some questions I wish I knew the answer to.
Let a(n) = A342585(n) be the Inventory Sequence (n>=1)
1. What is the upper envelope of the points?
If you click the "graph" button, you see it looks very very roughly like
sqrt(n),
I computed the RECORDS transform, and the record high points are in
A348782, and their indices are in A347305. If one draws a curve through
those points, what is its equation?
2, What is the average value after n terms? Let S(n) = (1/n) *
Sum_{i=1..n} a(i). The partial sums are in A348781. How does S(n) grow?
3. Write the sequence (A342585) as an irregular triangle. What is the
average value of the n-th row?
Best regards
Neil
Neil J. A. Sloane, Chairman, OEIS Foundation.
Also Visiting Scientist, Math. Dept., Rutgers University,
Email: njasloane at gmail.com
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