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DLMF:26.11.E6 - MaRDI portal

DLMF:26.11.E6 (Q8604)

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DLMF:26.11.E6
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    Statements

    DLMF defining formula
    c ⁡ ( ∈ T , n ) = F n - 1 , restricted-number-of-compositions-C-into-parts absent 𝑇 𝑛 subscript 𝐹 𝑛 1 {\displaystyle{\displaystyle c\left(\in\!T,n\right)=F_{n-1},}}
    0 references
    constraint
    n ≥ 1 𝑛 1 {\displaystyle{\displaystyle n\geq 1}}
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    Symbols used
    Q10758
    DLMF defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2aadec
    0 references
    restricted number of compositions of n
    DLMF defining formula
    c ⁡ ( condition , n ) restricted-number-of-compositions-C-into-parts condition 𝑛 {\displaystyle{\displaystyle c\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}
    xml-id
    C26.S11.p1.m8aadec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1cdec
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    set
    DLMF defining formula
    T 𝑇 {\displaystyle{\displaystyle T}}
    xml-id
    C26.S11.XMD1.m1adec
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    Fibonacci numbers
    DLMF defining formula
    F n subscript 𝐹 𝑛 {\displaystyle{\displaystyle F_{n}}}
    xml-id
    C26.S11.XMD2.m1adec
    0 references
     
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