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Formula:8543

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Digital Library of Mathematical Functions ID 26.8.E22

S ⁑ ( n , k ) = k ⁒ S ⁑ ( n - 1 , k ) + S ⁑ ( n - 1 , k - 1 ) , Stirling-number-second-kind-S 𝑛 π‘˜ π‘˜ Stirling-number-second-kind-S 𝑛 1 π‘˜ Stirling-number-second-kind-S 𝑛 1 π‘˜ 1 {\displaystyle{\displaystyle S\left(n,k\right)=kS\left(n-1,k\right)+S\left(n-1% ,k-1\right),}}


Constraint(s)

Symbols List

  • S ⁑ ( n , k ) Stirling-number-second-kind-S 𝑛 π‘˜ {\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}} :
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:30.
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