5 ms·
This is a very nice and deep question. Are you aware of the published research on the problem? The growth rate is indeed around 4 and now known to be strictly
by lkozma 4y ago
This is a very nice and deep question. Are you aware of the published research on the problem?
The growth rate is indeed around 4 and now known to be strictly above 4:
https://page.mi.fu-berlin.de/rote/Papers/pdf/Lambda-4.pdf https://page.mi.fu-berlin.de/rote/Papers/pdf/Lambda-4.pdf
If I remember correctly, there was a non-rigorous argument for a concrete conjectured value not far above 4.
- alcover 4y agoThanks for the link. we obtain 4.00253176 as a certified lower bound How intringing it's strictly just above 4 ! Maybe it has to do with symmetries. The proportion of symmetric polys in successive generations goes towards zero. I suspect that this 'pollutes' the asymptot. About published research, I just glanced at the little I found, (as I often can't do more than glance, being limited in Maths.) Also I prefer to go at it naively first.