[seqfan] R: Sequence related to A180919

[Bruno Berselli]

Ciao, Joerg!
 
 
...perhaps the following sequence?
 

(n)      number of squares
-------------------------------------
(1)      0 
(2)      (infinite squares) 
(3)      0 
(4)      0 
(5)      1 
(6)      0 
(7)      2 
(8)      1 
(9)      1 
(10)    1 
(11)    2 
(12)    1 
(13)    3 
(14)    2 
(15)    1 
(16)    2 
(17)    3 
.
.
.
(390)  5 
(391)  3 
(392)  7 
(393)  7 
(394)  17 
(395)  3 
(396)  1 
(397)  15 
(398)  26 
(399)  1 
(400)  3 
(401)  15 
(402)  8 
(403)  9 
.
.
.
(895)  15 
(896)  3 
(897)  7 
(898)  53 
(899)  15 
(900)  3 
(901)  15 
(902)  17 
(903)  7 
(904)  7 
(905)  7 
(906)  3 
(907)  11 
(908)  15 
(909)  1 
(910)  11 
(911)  11 
(912)  7 
(913)  7 
(914)  11 
(915)  7 
.
.
.
 
Is it so? Maybe it is a little repetitive, but it is an approach to the problem. Thanks ;)

 
Bruno
 
 
 
 
--- Mar 18/1/11, Joerg Arndt <arndt at jjj.de> ha scritto:


Da: Joerg Arndt <arndt at jjj.de>
Oggetto: [seqfan] Re: Sequence related to A180919
A: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Data: Martedì 18 gennaio 2011, 16:22


(If I understood the message correctly)
I'd suggest to just create one sequence
"Number of squares of the form k^2+n*k+1 where k>0."

But first wait for comments from the heavy duty number theorists.

* Bruno Berselli <berselli.bruno at yahoo.it> [Jan 18. 2011 17:10]: