A001579, A001550, etc./Correction

[David Wilson]

----- Original Message ----- 
From: "Henry Gould" <gould at math.wvu.edu>
To: <seqfan at ext.jussieu.fr>; <gould at math.wvu.edu>
Sent: Thursday, August 22, 2002 8:29 PM
Subject: Re: A001579, A001550, etc./Correction


> Seqfans may be slightly amused as to why I am curious about A001579 in
> the first place. While I haven't thought about any combinatorial or
> number-theoretic significance of the sequence, I was getting ready to
> pay my bill at a local restaurant and the amount was $6.53. I have the
> Hardy-Ramanujanish habit of looking for interesting things about any and
> all numbers, so I quickly calculated the values of many terms of 3, 14,
> 70, 368, 2002, 11144, 63010, 360248, . . . and found not only the
> present year 2002, but also my house number 368, and thereby the
> sequence became of interest.

653^2 + 653 + 1 = 427063 = 7*13^2*19^2

The small prime factors explain why 653 shows up as a factor in several
initial elements of A008850.