DLMF:27.14.E6 (Q8105)

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DLMF:27.14.E6
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    Statements

    Defining formula
    p ⁡ ( n ) = ∑ k = 1 ∞ ( - 1 ) k + 1 ⁢ ( p ⁡ ( n - ω ⁢ ( k ) ) + p ⁡ ( n - ω ⁢ ( - k ) ) ) = p ⁡ ( n - 1 ) + p ⁡ ( n - 2 ) - p ⁡ ( n - 5 ) - p ⁡ ( n - 7 ) + ⋯ , partition-function 𝑛 superscript subscript 𝑘 1 superscript 1 𝑘 1 partition-function 𝑛 𝜔 𝑘 partition-function 𝑛 𝜔 𝑘 partition-function 𝑛 1 partition-function 𝑛 2 partition-function 𝑛 5 partition-function 𝑛 7 ⋯ {\displaystyle{\displaystyle p\left(n\right)=\sum_{k=1}^{\infty}(-1)^{k+1}% \left(p\left(n-\omega(k)\right)+p\left(n-\omega(-k)\right)\right)=p\left(n-1% \right)+p\left(n-2\right)-p\left(n-5\right)-p\left(n-7\right)+\cdots,}}
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    DLMF id
    DLMF:27.14.E6
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