Re: Is there more symmetry to this function?

From: Michael Jørgensen (ingen_at_ukendt.dk)
Date: 07/08/04 

Date: Thu, 8 Jul 2004 13:38:09 +0200

<anonymous@mathforum.org> wrote in message
news:200407072147.i67LlIp08299@proapp.mathforum.org...
> Consider the following function:
>
> f: N x N -> N (N naturals)
>
> f(1,1) = 16, f(1,2) = 17, f(1,3) = 20, f(1,4) = 25, f(1,5) = 32, ...
>
> sequence of differences: (1, 3, 5, 7, ...)
>
> f(2,1) = 33, f(2,2) = 36, f(2,3) = 41, f(2,4) = 48, f(2,5) = 57, ...
>
> sequence of differences: (3, 5, 7, 9, ...)
>
> f(3,1) = 52, f(3,2) = 57, f(3,3) = 64, f(3,4) = 73, f(3,5) = 84, ...
>
> sequence of differences: (5, 7, 9, 11, ...)

I think f(x,y) = (x+y-2)^2 + 16 x seems to fit your values.

-Michael.