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 Between addition and product ( pic ) tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 06/07/2016, 11:33 PM Here is a pic showing An operator / function between addition and product. It maps N x N to N. It is commutative and associative. Regards Tommy1729 Attached Files Image(s)     tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 06/08/2016, 12:09 AM (0,n) -> 0 (1,n) -> n Since that is trivial , it is not written in the picture. So the table starts at 2. Regards Tommy1729 deepblue Junior Fellow Posts: 3 Threads: 1 Joined: Jan 2009 06/11/2016, 01:25 PM Its nice that they are all Natural numbers too How are they being calculated? the first 3 lines can be found in oeis databank https://oeis.org/search?q=4%2C5%2C7%2C9%...&go=Search https://oeis.org/search?q=5%2C8%2C9%2C13...&go=Search https://oeis.org/search?q=7%2C9%2C12%2C1...&go=Search tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 07/06/2016, 12:28 PM My apologies for the delay. I have been thinking about this rather than writing. I would like to know more before i say more. Its all very new. But i can say this is about hyperoperators and a half iterate of 2^(z+1). Regards Tommy1729 Gottfried Ultimate Fellow Posts: 757 Threads: 116 Joined: Aug 2007 07/10/2016, 07:32 AM (This post was last modified: 07/10/2016, 07:33 AM by Gottfried.) The rowwise second order differences are not monotonously increasing. So what is this about? Gottfried Helms, Kassel « Next Oldest | Next Newest »

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