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Formula:8582

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Digital Library of Mathematical Functions ID 26.10.E6

p ⁑ ( π’Ÿ , n ) = 1 n ⁒ βˆ‘ t = 1 n p ⁑ ( π’Ÿ , n - t ) ⁒ βˆ‘ j | t j  odd j , restricted-partitions-P π’Ÿ 𝑛 1 𝑛 superscript subscript 𝑑 1 𝑛 restricted-partitions-P π’Ÿ 𝑛 𝑑 subscript divides 𝑗 𝑑 j  odd 𝑗 {\displaystyle{\displaystyle p\left(\mathcal{D},n\right)=\frac{1}{n}\sum_{t=1}% ^{n}p\left(\mathcal{D},n-t\right)\sum_{\begin{subarray}{c}j\mathbin{|}t\\ \mbox{\scriptsize$j$ odd}\end{subarray}}j,}}


Constraint(s)

Symbols List

  • 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
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