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Formula:8586

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Digital Library of Mathematical Functions ID 26.10.E10

p ⁑ ( π’Ÿ ⁒ k , n ) = βˆ‘ p m ⁑ ( n - 1 2 ⁒ k ⁒ m 2 - m + 1 2 ⁒ k ⁒ m ) , restricted-partitions-P π’Ÿ π‘˜ 𝑛 partition-function-at-most π‘š 𝑛 1 2 π‘˜ superscript π‘š 2 π‘š 1 2 π‘˜ π‘š {\displaystyle{\displaystyle p\left(\mathcal{D}k,n\right)=\sum p_{m}\left(n-% \tfrac{1}{2}km^{2}-m+\tfrac{1}{2}km\right),}}


Constraint(s)

Symbols List

  • p k ⁑ ( n ) partition-function-at-most π‘˜ 𝑛 {\displaystyle{\displaystyle p_{\NVar{k}}\left(\NVar{n}\right)}} :
  • p ⁑ ( condition , n ) restricted-partitions-P condition 𝑛 {\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}} :
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative integer
  • m π‘š {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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