[seqfan] Re: Periodic structure in "integer log" A001414

[Frank Adams-Watters]

As a start, note that the bottom of the graph contains only numbers with only small prime divisors; mostly 3 near the very bottom (since 3 is the where the maximum of log(n)/n occurs for integer n).

It looks like there's a point where the graph goes abruptly from dense to this pattern - a particular value of a(n)/log(n) - but that could be an artifact of the graphics.

Franklin T. Adams-Watters

-----Original Message-----
From: Allan Wechsler <acwacw at gmail.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Sent: Sun, Oct 11, 2015 8:03 am
Subject: [seqfan] Periodic structure in "integer log" A001414


Look at the graph of A001414. At the lower edge of the logarithmic
scatterplot
there is a set of fuzzy but unmistakable diagonal fringes,
sloping toward the
southeast. Their spacing gradually increases, and their
slopes gradually
decrease; they are more distinct toward the lower edge of
the range. Is any
explanation known?

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