11/02/2008, 02:47 PM
Interesting, and that one will certainly grow extremely quickly (is this the idea btw?).
What I like about the Friedman sequence though (and I don't think it's related to yours) is that it's "innocent"; i.e. it's not obvious from the way it's derived how fast the values increase. Since the first two values are 3 and 11, it comes as some surprise that the next value requires several pages worth of "Knuth arrows" to write down (it did to me anyway). Good luck with the journal article.
What I like about the Friedman sequence though (and I don't think it's related to yours) is that it's "innocent"; i.e. it's not obvious from the way it's derived how fast the values increase. Since the first two values are 3 and 11, it comes as some surprise that the next value requires several pages worth of "Knuth arrows" to write down (it did to me anyway). Good luck with the journal article.