Lucky numbers properties


by Ulam
Tags: lucky, numbers, properties
Ulam
Ulam is offline
#1
Nov4-11, 05:19 PM
P: 5
Let be [tex]l_n[/tex] the n-th 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] ?
Phys.Org News Partner Science news on Phys.org
Scientists pinpoint when harmless bacteria became flesh-eating monsters
Asian air pollution affect Pacific Ocean storms
Rocket leak delays space station delivery launch (Update)

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