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)
K. West, five years or hours, and spiders
I was listening to some David Bowie last night and was struck by the album art for Ziggy Stardust . Right above Bowie is a sign that says ...
-
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... -
Disclaimer: My terms are borrowed (by way of Terry Boardman and Bruce Charlton) from Rudolf Steiner, but I cannot claim to be using them in ... -
I’ve been sailing all my life now Never harbor or port have I known The wide universe is the ocean I travel And the earth is my blue boat ho...
No comments:
Post a Comment