Reply from On-Line Encyclopedia of Integer Sequences (fwd)

[Richard Guy]

Here's a raft of new sequences, if anyone thinks
they are worthwhile and has the patience to
compute them. The one below is the period lengths
of the continued fraction for sqrt(3n^2) for
n = 1, 2, 3, ...

Here are a few more terms:

2 2 2 2 4 8 2 4 10 4 2 8 6 2 2 8 6 20 4 8 14 8 8 12 16 2 28

Similar sequences may or may not be of interest
with 3 replaced by other squarefree numbers.

Also some subsequences may be quite striking, e.g.
for sqrt(3^(2k+1)) :  2 2 10 28 ... much bigger   R.

---------- Forwarded message ----------
Date: Thu, 25 Oct 2001 12:42:24 -0400 (EDT)
From: sequences-reply at research.att.com
To: rkg at cpsc.ucalgary.ca
Subject: Reply from On-Line Encyclopedia of Integer Sequences

Matches (up to a limit of 50) found for  2 2 2 2 4 8 2 4 10 4 2 8 6 2 2 8 6 20 4 8  :


Even though there are a large number of sequences in the table, at least
one of yours is not there! Please send it to me using
the submission form on the sequence web page
http://www.research.att.com/~njas/sequences/Submit.html
and I will (probably) add it!  Include a brief description. Thanks!