Spidron Sequences

[Hans Havermann]

Ivars Peterson writes about spidrons in an article in today's Science  
News: Swirling Seas, Crystal Balls <http://www.sciencenews.org/ 
articles/20061021/bob11.asp>, with a link to Spidron <http:// 
www.spidron.hu/> and, more specifically, to Spidron Numerology  
<http://www.szinhaz.hu/edan/prim/> which contains this intriguing  
spidron construction:

http://www.szinhaz.hu/edan/prim/images/Spidron132Stringokok.gif

It occurred to me that there might be some sequences for the OEIS in  
this. For example, is the line going south-west from the center (1,  
4, 25, 64, 121, ...) = A065733? Or the same line going north-east (1,  
13, 43, 91, ...) = A082040? The spiral joins lattice points on a  
hexagonal grid and it shouldn't be too difficult (though slightly  
above my ability) to program the path and derive relevant sequences.  
Anybody?