https://oeis.org/A075308 (Number of n-digit perfect powers)
Symmetric polynomials, the consecutive terms (1,6,15) in OEIS A050447, and the root-system of $ E_8$
In the empirical biomolecular problem on which my team is working, we have a theoretically crucial subset whose cardinality of 40 arises naturally and crucially as the sum of the cardinalities 4,8,28 of its own three subsets, all of which arise naturally and crucially as well. (See the MO question in the above link for the mathematical context of this subset with cardinality 40.)
It would therefore be very helpful to know whether any NON-coincidental relationships exist among these three facts:
i) the fact that the divisors of 14 are 1,2,7;
ii) the fact that when multiplied by 4, 1,2, and 7 yield the first three terms of A075308
iii) the fact that 14 is twice the number of points in the Fano plane (for the possible relevance of this fact, see this question:
It would also be very helpful to my team to know whether 40 “crucially” occurs as 4+8+28 in any known mathematical context.
Thanks as always for whatever time you can afford to spend considering this matter.
✓ Extra quality
ExtraProxies brings the best proxy quality for you with our private and reliable proxies
✓ Extra anonymity
Top level of anonymity and 100% safe proxies – this is what you get with every proxy package
✓ Extra speed
1,ooo mb/s proxy servers speed – we are way better than others – just enjoy our proxies!
USA proxy location
We offer premium quality USA private proxies – the most essential proxies you can ever want from USA
Our proxies have TOP level of anonymity + Elite quality, so you are always safe and secure with your proxies
Use your proxies as much as you want – we have no limits for data transfer and bandwidth, unlimited usage!
Superb fast proxy servers with 1,000 mb/s speed – sit back and enjoy your lightning fast private proxies!
99,9% servers uptime
Alive and working proxies all the time – we are taking care of our servers so you can use them without any problems
No usage restrictions
You have freedom to use your proxies with every software, browser or website you want without restrictions
Perfect for SEO
We are 100% friendly with all SEO tasks as well as internet marketing – feel the power with our proxies
Buy more proxies and get better price – we offer various proxy packages with great deals and discounts
We are working 24/7 to bring the best proxy experience for you – we are glad to help and assist you!