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Between addition and product ( pic ) - Printable Version

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Between addition and product ( pic ) - tommy1729 - 06/07/2016

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


RE: Between addition and product ( pic ) - tommy1729 - 06/08/2016

(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


RE: Between addition and product ( pic ) - deepblue - 06/11/2016

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%2C10%2C12%2C13%2C15%2C16&language=english&go=Search

https://oeis.org/search?q=5%2C8%2C9%2C13%2C14%2C15%2C17%2C20&sort=&language=english&go=Search

https://oeis.org/search?q=7%2C9%2C12%2C15%2C16%2C19%2C20&sort=&language=english&go=Search


RE: Between addition and product ( pic ) - tommy1729 - 07/06/2016

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


RE: Between addition and product ( pic ) - Gottfried - 07/10/2016

The rowwise second order differences are not monotonously increasing. So what is this about?