tea.mathoverflow.net - Discussion Feed (Ratio of positive integers of a specific recursion) Sun, 04 Nov 2018 16:07:41 -0800 http://mathoverflow.tqft.net/ Lussumo Vanilla 1.1.9 & Feed Publisher Scott Morrison comments on "Ratio of positive integers of a specific recursion" (17708) http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17708#Comment_17708 http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17708#Comment_17708 Sun, 18 Dec 2011 18:24:03 -0800 Scott Morrison For anyone else here: we had previously asked Vassilis to bring any question he was thinking about posting on MathOverflow to meta first, and only to post on the main site if he received a consensus that the question was appropriate. He ignored that request in this instance (only posting here after Scott C reminded him on this), and we've taken consequent action. (We're happy to explain this via private email if anyone is concerned or interested, but don't see an immediate need to explain here.)

I'm going to leave this thread open, in case anyone is inclined to comment to Vassilis on the appropriateness of his question, or advise improvements.

]]> Scott Morrison comments on "Ratio of positive integers of a specific recursion" (17707) http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17707#Comment_17707 http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17707#Comment_17707 Sun, 18 Dec 2011 18:16:41 -0800 Scott Morrison Dear Vassilis,

please read the message I sent to you via email.

Further, I think your comment above, including "Is there any reason for your silence?", addressed to the other Scott (Carnahan), is quite rude. As a moderator, he has no obligation to deal with your questions --- as a moderator, he's first trying to ensure the smooth running of the site.

sincerely, Scott Morrison

]]> Vassilis Parassidis comments on "Ratio of positive integers of a specific recursion" (17682) http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17682#Comment_17682 http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17682#Comment_17682 Sun, 18 Dec 2011 10:56:14 -0800 Vassilis Parassidis Michael Greinecker comments on "Ratio of positive integers of a specific recursion" (17680) http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17680#Comment_17680 http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17680#Comment_17680 Sun, 18 Dec 2011 10:41:29 -0800 Michael Greinecker
He said before, not afterwards. ]]> Vassilis Parassidis comments on "Ratio of positive integers of a specific recursion" (17677) http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17677#Comment_17677 http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17677#Comment_17677 Sun, 18 Dec 2011 09:47:29 -0800 Vassilis Parassidis Vassilis Parassidis comments on "Ratio of positive integers of a specific recursion" (17658) http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17658#Comment_17658 http://mathoverflow.tqft.net/discussion/1254/ratio-of-positive-integers-of-a-specific-recursion/?Focus=17658#Comment_17658 Sat, 17 Dec 2011 20:19:27 -0800 Vassilis Parassidis a_1m^1+a_0=a_2 a_2m^2+a_1=a_3 a_n-1m^(n-1)+a_n-2=a_n
k_1m^1+k_0=k_2 k_2m^2+k_1=k_3 k_n-1m^(n-1)+k_n-2=k_n.
For m any non-zero positive integer and a_0=1, a_1=0, k_0=0, k_1=1 I was able to predict the result of k_n/a_n. For any other pair of values a_0≠a_1 and k_0≠k_1 the result is unpredictable. Does anyone know if it is possible to predict the numerical value of the ratio k_n/a_n for such pairs? ]]>