
#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] ? 


Register to reply 
Related Discussions  
Properties of complex numbers  Calculus & Beyond Homework  4  
Basic properties of numbers proof  Calculus & Beyond Homework  9  
Help about properties of Pell numbers  Linear & Abstract Algebra  1  
Properties of Roots of Real Numbers  General Math  2 