duplicate names

Christian G. Bower bowerc at usa.net
Tue Nov 13 01:52:50 CET 2007


Although this is implicit in A000446 by giving a hotlink to the  G.
Xiao, Two squares, online calculator, why not add some examples to the
seq?  For instance:
a(1) = 0 because 0 is the smallest integer with a unique sum of two
squares, namely 0^2 + 0^2.
a(2) = 25 because 25 = 5^2 + 0 ^2 = 3^2 + 4^2.
a(3) = 325 because 325 = 1^2 + 18^2 = 6^2 + 17^2 = 10^2 + 15^2.
a(4) = 1105 because 1105 = 4^2 + 33^2 = 9^2 + 32^2 	= 12^2 + 31^2 = 23^2 + 24^2.
It's usually good to have examples in a seq; in this case, that would
have shown that 0^2 can be one or both of the two squares.

-- Jonathan Vos Post

On 11/12/07, Christian G. Bower <bowerc at usa.net> wrote:
> It looks like A000446 treats 0 as a square and A016032 does not.
>
> In other words A016032 knows only 1 way to represent 25 as sum of 2 squares:
>
> 25 = 9 + 16
>
> but A000446 knows 2 ways:
>
> 25 = 0 + 25
> 25 = 9 + 16
>
> And this difference is not born out in the titles.
>
> Christian
>





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