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DLMF:26.10.E11

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Formula:8587
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MaRDI QIDQ8587

  • Label: DLMF:26.10.E11


Digital Library of Mathematical Functions ID 26.10.E11

p ⁡ ( ∈ S , n ) = 1 n ⁢ ∑ t = 1 n p ⁡ ( ∈ S , n - t ) ⁢ ∑ j | t j ∈ S j , restricted-partitions-P absent 𝑆 𝑛 1 𝑛 superscript subscript 𝑡 1 𝑛 restricted-partitions-P absent 𝑆 𝑛 𝑡 subscript divides 𝑗 𝑡 𝑗 𝑆 𝑗 {\displaystyle{\displaystyle p\left(\in\!S,n\right)=\frac{1}{n}\sum_{t=1}^{n}p% \left(\in\!S,n-t\right)\sum_{\begin{subarray}{c}j\mathbin{|}t\\ j\in S\end{subarray}}j,}}


Constraint(s)

Symbols List

  • ∈ {\displaystyle{\displaystyle\in}} :
  • p ⁡ ( condition , n ) restricted-partitions-P condition 𝑛 {\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}} :
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • S 𝑆 {\displaystyle{\displaystyle S}} : set
  •  Edit this on Wikidata

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