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f^k(n)=P(n)
f^k(n)=P(n)
Source: hmm (unsolved)
January 29, 2022
algebra unsolved
algebra
Problem Statement
Given
k
≥
2
k\ge 2
k
≥
2
, for which polynomials
P
∈
Z
[
X
]
P\in \mathbb{Z}[X]
P
∈
Z
[
X
]
does there exist a function
h
:
N
→
N
h:\mathbb{N}\rightarrow\mathbb{N}
h
:
N
→
N
with
h
(
k
)
(
n
)
=
P
(
n
)
h^{(k)}(n)=P(n)
h
(
k
)
(
n
)
=
P
(
n
)
?
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