[math-fun] OEIS-inspired research project for an undergrad
Look at the logarithmic scatterplot of A001414. Explain the feathery diagonal bands at the bottom edge.
I just read the comments more carefully and find that I have asked exactly this question five years ago. I have no memory of this whatsoever. And where are my undergraduate minions? Surely I do not have to do this myself? Grump, grump. On Fri, Jul 3, 2020 at 5:02 PM Allan Wechsler <acwacw@gmail.com> wrote:
Look at the logarithmic scatterplot of A001414.
Explain the feathery diagonal bands at the bottom edge.
Allan, You might try offering $100 or more for a solution, or better, say that if someone solves it you will denote $100 in their name to the OEIS. This has worked quite often in the past - go to the OEIS Foundation web page, http://oeisf.org/ , and look for "in honor of". You will see that several people have been honored in this way, several problems have been solved, freeing up people's time for other things, and the OEIS Foundation has benefitted from some modest donations! It's known as a win-win-win situation! Best regards Neil Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com On Fri, Jul 3, 2020 at 5:36 PM Allan Wechsler <acwacw@gmail.com> wrote:
I just read the comments more carefully and find that I have asked exactly this question five years ago. I have no memory of this whatsoever. And where are my undergraduate minions? Surely I do not have to do this myself? Grump, grump.
On Fri, Jul 3, 2020 at 5:02 PM Allan Wechsler <acwacw@gmail.com> wrote:
Look at the logarithmic scatterplot of A001414.
Explain the feathery diagonal bands at the bottom edge.
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That's a pretty good idea. I have some personal psychological barriers to it ... somehow I feel like, before I offer to donate $100 in honor of the solver, I ought to at least give it a LITTLE try. And aside from convincing myself that the "feathers" are NOT simply "sets of numbers with the same number of prime factors" (think about it -- the set of numbers with fourteen factors doesn't have an upper limit, but each feather clearly stops) I have really devoted no thought whatsoever to the problem. It's just that every time I see that graph, the same question occurs to me. Maybe I ought to just give it a try. Sigh. I should also give OEIS a hundred bucks unconditionally. Okay, I just now did that, so now I won't feel like a piker if I do decide to address the question myself. On Fri, Jul 3, 2020 at 8:30 PM Neil Sloane <njasloane@gmail.com> wrote:
Allan, You might try offering $100 or more for a solution, or better, say that if someone solves it you will denote $100 in their name to the OEIS.
This has worked quite often in the past - go to the OEIS Foundation web page, http://oeisf.org/ , and look for "in honor of". You will see that several people have been honored in this way, several problems have been solved, freeing up people's time for other things, and the OEIS Foundation has benefitted from some modest donations! It's known as a win-win-win situation!
Best regards Neil
Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com
On Fri, Jul 3, 2020 at 5:36 PM Allan Wechsler <acwacw@gmail.com> wrote:
I just read the comments more carefully and find that I have asked exactly this question five years ago. I have no memory of this whatsoever. And where are my undergraduate minions? Surely I do not have to do this myself? Grump, grump.
On Fri, Jul 3, 2020 at 5:02 PM Allan Wechsler <acwacw@gmail.com> wrote:
Look at the logarithmic scatterplot of A001414.
Explain the feathery diagonal bands at the bottom edge.
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participants (2)
-
Allan Wechsler -
Neil Sloane