Equivalence of two multisets of natural numbers – math.stackexchange.com

Equivalence of two multisets of natural numbers – math.stackexchange.com

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I want to show that the two multisets of natural numbers given by : $\{4m^2+(2n+1)^2\}$ for $m,n \in \mathbb{Z}_{\ge 0}$ and $\{2(k+l+1/2)^2+2(l+1/2)^2\}$ for $k,l \in \mathbb{Z}_{\ge 0}$ are ...

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