A New Years Puzzle

[N. J. A. Sloane]

Dear Seqfans, A correspondent writes:

> From mbimmler at bluemail.ch  Mon Jan  3 07:31:50 2005
> Date: Mon, 3 Jan 2005 13:31:14 +0100
> From: "Michael Bimmler" <mbimmler at bluemail.ch>
> 
> You must have this sequence in your database. It's a very basic one, even
> a college student should know it...
> 5,62,233,1444,8278,27778,76225,103872,184827,328473,399473,539283,...

Any ideas, anyone?  I didn't study it much.
I asked him for an explanation, but got no reply.

I also have to say that I'm going to be really busy
with the new book for the next few months, so
it may take longer to process comments and new sequences
than usual.    Happy New Year!   Neil