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Fungrim entry: 2e9d0c

Symbol: StirlingS1 s ⁣(n,k)s\!\left(n, k\right) Signed Stirling number of the first kind
Domain Codomain
nZ0  and  kZ0n \in \mathbb{Z}_{\ge 0} \;\mathbin{\operatorname{and}}\; k \in \mathbb{Z}_{\ge 0} s ⁣(n,k)Zs\!\left(n, k\right) \in \mathbb{Z}
Table data: (P,Q)\left(P, Q\right) such that (P)        (Q)\left(P\right) \;\implies\; \left(Q\right)
Fungrim symbol Notation Short description
StirlingS1s ⁣(n,k)s\!\left(n, k\right) Signed Stirling number of the first kind
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
ZZZ\mathbb{Z} Integers
Source code for this entry:
    SymbolDefinition(StirlingS1, StirlingS1(n, k), "Signed Stirling number of the first kind"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(And(Element(n, ZZGreaterEqual(0)), Element(k, ZZGreaterEqual(0))), Element(StirlingS1(n, k), ZZ)))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC