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Fungrim entry: 468def

Bn≥(nelog⁡(n))nB_{n} \ge {\left(\frac{n}{e \log(n)}\right)}^{n}
Assumptions:n∈Z≥2n \in \mathbb{Z}_{\ge 2}
TeX:
B_{n} \ge {\left(\frac{n}{e \log(n)}\right)}^{n}

n \in \mathbb{Z}_{\ge 2}
Definitions:
Fungrim symbol Notation Short description
BellNumberBnB_{n} Bell number
Powab{a}^{b} Power
ConstEee The constant e (2.718...)
Loglog⁡(z)\log(z) Natural logarithm
ZZGreaterEqualZ≥n\mathbb{Z}_{\ge n} Integers greater than or equal to n
Source code for this entry:
Entry(ID("468def"),
    Formula(GreaterEqual(BellNumber(n), Pow(Div(n, Mul(ConstE, Log(n))), n))),
    Variables(n),
    Assumptions(Element(n, ZZGreaterEqual(2))))

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2021-03-15 19:12:00.328586 UTC