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The Comma Sequence is Finite in Other Bases
Robert Dougherty-Bliss, Natalya Ter-Saakov
The comma sequence (1, 12, 35, 94, ...) is the lexicographically earliest sequence such that the difference of consecutive terms equals the concatenation of the digits on either si…
Creating Decidable Diophantine Equations
Robert Dougherty-Bliss, Charles Kenney, Doron Zeilberger
Generalizing an argument of Matiyasevich, we illustrate a method to generate infinitely many diophantine equations whose solutions can be completely described by linear recurrences…
Lots and Lots of Perrin-Type Primality Tests and Their Pseudo-Primes
Robert Dougherty-Bliss, Doron Zeilberger
We use Experimental Mathematics and Symbolic Computation (with Maple), to search for lots and lots of Perrin- and Lucas- style primality tests, and try to sort the wheat from the c…
Exploring General Apéry Limits via the Zudilin-Straub t-transform
Robert Dougherty-Bliss, Doron Zeilberger
Inspired by a recent beautiful construction of Armin Straub and Wadim Zudilin, that 'tweaked' the sum of the powers of the -th row of Pascal's triangle, getting instead…
Experimenting with Apery Limits and WZ pairs
Robert Dougherty-Bliss, Doron Zeilberger
This article, dedicated with admiration in memory of Jon and Peter Borwein, illustrates by example, the power of experimental mathematics, so dear to them both, by experimenting wi…
Tweaking the Beukers Integrals In Search of More Miraculous Irrationality Proofs A La Apery
Robert Dougherty-Bliss, Christoph Koutschan, Doron Zeilberger
There are only aleph-zero rational numbers, while there are 2 to the power aleph-zero real numbers. Hence the probability that a randomly chosen real number would be rational is 0.…