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Lucky numbers properties 
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#1
Nov411, 05:19 PM

P: 5

Let be [tex]l_n[/tex] the nth lucky number (Ulam sieve) and
[tex]J_n=\{k \in \mathbb{N} :k \le n \}[/tex]. So, is it possible to have a proof that exists a [tex]u_n(k): J_n \longrightarrow \{1,+1\}[/tex] such that [tex]n=\sum_{k=1}^{n}u_n(k)l_k[/tex] for all [tex]n[/tex] ? 


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