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DLMF:26.6.E2 - MaRDI portal

DLMF:26.6.E2 (Q8497)

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DLMF:26.6.E2
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    Statements

    DLMF defining formula
    M ⁢ ( n ) = ∑ k = 0 n ( - 1 ) k n + 2 - k ⁢ ( n k ) ⁢ ( 2 ⁢ n + 2 - 2 ⁢ k n + 1 - k ) . 𝑀 𝑛 superscript subscript 𝑘 0 𝑛 superscript 1 𝑘 𝑛 2 𝑘 binomial 𝑛 𝑘 binomial 2 𝑛 2 2 𝑘 𝑛 1 𝑘 {\displaystyle{\displaystyle M(n)=\sum_{k=0}^{n}\frac{(-1)^{k}}{n+2-k}\genfrac% {(}{)}{0.0pt}{}{n}{k}\genfrac{(}{)}{0.0pt}{}{2n+2-2k}{n+1-k}.}}
    0 references
    Symbols used
    Q10728
    DLMF defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1aadec
    0 references
    nonnegative integer
    DLMF defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1adec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1bdec
    0 references

    Identifiers

     
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