Kevin McCall, whose name you may recognize because his thoughts on dice and the Tarot (qv) have appeared on this blog in the past, has worked out a proof of the congruence patterns in the series of triangular numbers which I postulated here. He has proven that the series of triangular numbers reduced modulo k repeats itself, that the repetition has a period of k (if k is odd) or 2k (if k is even), and that the repeating series is always palindromic.
I have only seen his proof of the first of those statements; I am not going to look at the remainder of his proof until after I have proven it myself independently -- at which point I will post both his proof and mine.
Subscribe to:
Post Comments (Atom)
Knowledge is baking powder, France is baking.
Last night (the night of April 17), I visited Engrish.com , a site I used to check fairly regularly but hadn't been to in, oh, years pro...
-
Following up on the idea that the pecked are no longer alone in their bodies , reader Ben Pratt has brought to my attention these remarks by...
-
In my recently posted notes on John 5:1-18 , I said, "I do not believe the Old Testament contains a single unambiguous reference to Go...
-
1. The traditional Marseille layout Tarot de Marseille decks stick very closely to the following layout for the Bateleur's table. Based ...
No comments:
Post a Comment