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Omni-MATH / Is there an infinite sequence of real numbers a₁,a₂,a₃,… such that

Problem

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problem

Is there an infinite sequence of real numbers a1,a2,a3,…a_1, a_2, a_3, \dots such that a1m+a2m+a3m+⋯=m a_1^m + a_2^m + a_3^m + \cdots = m for every positive integer mm?
Plain-text mathematical notation (without MathML)
Is there an infinite sequence of real numbers a₁,a₂,a₃,… such that
a₁^(m)+a₂^(m)+a₃^(m)+⋯=m
for every positive integer m?
Original LaTeX notation
Is there an infinite sequence of real numbers $a_1, a_2, a_3, \dots$ such that
\[
a_1^m + a_2^m + a_3^m + \cdots = m
\]
for every positive integer $m$?

Discussion

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Source and history

task_id
a30d6078-3f87-514d-aed8-98456c14d34c
task_key
test--a30d6078-3f87-514d-aed8-98456c14d34c
task_revision_id
1
config / split
/ test

Official source

initial import