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 A specific value of the Ackermann function tetrator Junior Fellow Posts: 3 Threads: 1 Joined: Oct 2008 10/28/2008, 01:18 AM (This post was last modified: 10/28/2008, 01:19 AM by tetrator.) Finitist Wrote:Hi. I've seen a sequence like that on Robert Munafo's site. Is yours related to Friedman sequences (nonrepeating sequences of different numbers of letters) as described below? Right now I can't see how they would be related. Finitist Wrote:I'd be interested to know what that function is that you're working on, Hopefully this will be appearing in an undergrad journal... The function D goes from N -> N by way of finite tuples. Given n in N, D takes n to the n-tuple of n's. So it would take 4 to (4,4,4,4) for example. Then (non-bold) D acts on that tuple by D(n,n,...,n) = D(D(n,n,...,n-1),D(n,n,...,n-1)), so D(4,4,4,4) = D(D(4,4,4,3),D(4,4,4,3)) for example. When all those tuples are reduced to pairs, all the D's become A's for Ackermann. In other words, D(n) = D(n,n,...,n). The expression A(A(A(61,61),A(61,61)), A(A(61,61),A(61,61))) is D(3) « Next Oldest | Next Newest »

 Messages In This Thread A specific value of the Ackermann function - by tetrator - 10/16/2008, 11:43 PM RE: A specific value of the Ackermann function - by bo198214 - 10/17/2008, 11:50 AM RE: A specific value of the Ackermann function - by Finitist - 10/19/2008, 11:29 AM large numbers - by bo198214 - 10/19/2008, 11:56 AM RE: large numbers - by Finitist - 10/26/2008, 06:49 PM RE: A specific value of the Ackermann function - by martin - 10/20/2008, 07:13 PM RE: A specific value of the Ackermann function - by tetrator - 10/20/2008, 11:49 PM RE: A specific value of the Ackermann function - by martin - 10/21/2008, 03:27 PM RE: A specific value of the Ackermann function - by bo198214 - 10/21/2008, 07:14 PM RE: A specific value of the Ackermann function - by martin - 10/21/2008, 08:13 PM RE: A specific value of the Ackermann function - by Finitist - 10/26/2008, 06:23 PM RE: A specific value of the Ackermann function - by tetrator - 10/28/2008, 01:18 AM RE: A specific value of the Ackermann function - by Finitist - 11/02/2008, 02:47 PM

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