About Wilder Exponential Slow:
This sequence, first described by J. O. Shallit, is similar in design to Ternary Exponential Slow, but with completely different results. This is how it begins: 0, 1, 4, 1, 2, 5, 4, 5, 8, 1, 2, 5, 2, 3, 6, 5, 6, 9, 4, 5, 8, 5, 6, 9, 8, 9, 12, 1, 2, 5, 2, 3, 6, 5, 6, 9, 2, 3, 6, 3, 4, 7, 6, 7, 10, 5, 6, 9, 6, 7, 10, 9, 10, 13, 4, 5, 8, 5, 6, 9, 8, 9, 12, 5, 6, 9, 6, 7...
The nth term of this sequence is equal to the sum of the squares of the digits in the ternary representation of n. For instance, for the 8th term, n = 8. It's ternary representation is 22, so the term is 2^2 + 2^2 = 8. (For the first term in the sequence, n=0.) This is exactly the same as Wild Exponential Slow, but it uses a sum of squares of digits instead of just a sum of digits. So the rate of growth is much much faster in Wilder Exponential Slow.
Like the Exponential Slow family, Wilder Exponential Slow is also a self-similar integer sequence; it contains infinitely many copies of itself and is invariant under scale. If you create a new integer sequence by using every third term of this one, you end up with exactly the same sequence!
Because of this self-similarity, it "slows down" exponentially as it goes on. It takes longer and longer for "new" numbers to appear as terms. Correspondingly, it takes longer and longer to move forward in the audio file you have selected.
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Reference: N. J. A. Sloane, editor (2002), The On-Line Encyclopedia of Integer Sequences, published electronically at http://www.research.att.com/~njas/sequences. Sequence A006287.