Lots of people say they have a favorite number; fewer people would say they have lots and lots of favorite numbers that neatly fit into a favorite number sequence. You know, like primes, Fibonacci numbers, the Extra strong Lucas Pseudoprimes. And even fewer would ever admit to having a favorite number sequence song.
But for those who do...
Neil Sloane, a fellow at AT&T, maintains the Online Encyclopedia of Integer Sequences, which contains 136,699 different sequences. The sequence used as an example on the home page is “Busy Beaver problem: maximal number of steps that an n-state Turing machine can make on an initially blank tape before eventually halting.”
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