Timeline for Questions about a product of trinomials
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 30, 2018 at 19:15 | vote | accept | David S. Newman | ||
| Apr 30, 2018 at 5:20 | answer | added | Gjergji Zaimi | timeline score: 4 | |
| Apr 30, 2018 at 4:35 | comment | added | David S. Newman | @FedorPetrov I finally understood your question and corrected the problem to read as you have indicated. I would like to think that those extra commas were not put there by me, but by some other well meaning editor. | |
| Apr 30, 2018 at 4:31 | history | edited | David S. Newman | CC BY-SA 3.0 |
I removed some commas which didn't belong. I wish that I could see previous versions of this problem to see if those commas were put there by me or by someone else.
|
| Apr 29, 2018 at 1:23 | comment | added | Gjergji Zaimi | Yes, almost verbatim when $k$ is even. | |
| Apr 29, 2018 at 0:56 | comment | added | David S. Newman | @GjergjiZaimi Will similar arguments work if f(n) is taken to be 1+x^n+x^2n+x^3n+...+x^kn . ? | |
| Apr 28, 2018 at 15:10 | comment | added | David S. Newman | @Fedor Petrov I've made a correction in response to your comment , but I'm not sure if it answers your question. | |
| Apr 28, 2018 at 15:06 | history | edited | David S. Newman | CC BY-SA 3.0 |
corrected question 2
|
| Apr 28, 2018 at 12:57 | comment | added | Fedor Petrov | You mean $f(a(1))\cdot f(a(2))\cdot f(a(3))...$? | |
| Apr 27, 2018 at 22:05 | comment | added | Gjergji Zaimi | You can actually describe exactly which numbers appear as a value of $a(n)$. For a positive integer $m$ relatively prime to $6$, and nonnegative integers $a,b$, the integer $2^a3^bm$ is a member of the $a(n)$ sequence if and only if $2^a$ appears in the binary expansion of $b+1$. This implies a positive answer to question 1 and a negative answer to question 2. (Apologies for leaving a comment instead of a detailed answer. If no one has expanded on this I can write a proof when I have access to a keyboard.) | |
| S Apr 27, 2018 at 21:57 | history | suggested | Vincent | CC BY-SA 3.0 |
cleared up some of the mess I created with my previous edit...
|
| Apr 27, 2018 at 20:39 | review | Suggested edits | |||
| S Apr 27, 2018 at 21:57 | |||||
| Apr 27, 2018 at 20:03 | history | asked | David S. Newman | CC BY-SA 3.0 |