Monthly Archives: January 2012

Computing with decadic numbers

Posted on January 30, 2012 by

[This is the ninth, and, I think, final in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does "close to" mean?, The decadic metric, Infinite decadic numbers, More … Continue reading →

Posted in arithmetic, programming | Tagged , , | 2 Comments

Differences of powers of consecutive integers

Posted on January 29, 2012 by

Patrick Vennebush of Math Jokes 4 Mathy Folks recently wrote about the following procedure that yields surprising results. Choose some positive integer . Now, starting with consecutive integers, raise each integer to the th power. Then take pairwise differences by … Continue reading →

Posted in arithmetic, pattern | Tagged , , , , | 16 Comments

u-tube

Posted on January 10, 2012 by

[This is the eighth in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does "close to" mean?, The decadic metric, Infinite decadic numbers, More fun with infinite decadic … Continue reading →

Posted in computation, convergence, infinity, iteration, modular arithmetic, number theory, programming | Tagged , , , , | 2 Comments

Herbert Wilf: 13 June 1931 – 7 January 2012

Posted on January 9, 2012 by

I was sad to learn that Herbert Wilf died yesterday. Long-time readers of this blog may remember him as one of the discoverers of the Calkin-Wilf tree, which I wrote about in a ten-part series of posts (1, 2, 3, … Continue reading →

Posted in people | Tagged | 1 Comment

A self-square number

Posted on January 4, 2012 by

[This is the seventh in a series of posts on the decadic numbers (previous posts: A curiosity, An invitation to a funny number system, What does "close to" mean?, The decadic metric, Infinite decadic numbers, More fun with infinite decadic … Continue reading →

Posted in arithmetic, infinity, iteration, modular arithmetic, proof | Tagged , , , | 12 Comments