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Robert WalkerRSS Feed of this column.

I'm Robert Walker, inventor & programmer. I have had a long term special interest in astronomy, and space science since the 1970s, and most of these blog posts currently are about Mars and space... Read More »

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This describes the maths behind the sloth canon number sequences described in my Self Similar Sloth Canon Number Sequences article

It simplifies the proofs here to use a 0 based notation. So we define an integer sequence f(n) as a map from the non negative integers to the integers. The first term in the sequence is f(0).

Sloth Canon Sequences

Definition of a sloth canon sequence

The Danish composer Per Nørgård uses an endless self similar (fractal like) strict sloth canon structure in some of his compositions such as his Symphony number 2. He first discovered his sequence in 1959.