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Formula:8257

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Digital Library of Mathematical Functions ID 24.15.E7

B n = βˆ‘ k = 0 n ( - 1 ) k ⁒ ( n + 1 k + 1 ) ⁒ S ⁑ ( n + k , k ) / ( n + k k ) , Bernoulli-number-B 𝑛 superscript subscript π‘˜ 0 𝑛 superscript 1 π‘˜ binomial 𝑛 1 π‘˜ 1 Stirling-number-second-kind-S 𝑛 π‘˜ π‘˜ binomial 𝑛 π‘˜ π‘˜ {\displaystyle{\displaystyle B_{n}=\sum_{k=0}^{n}(-1)^{k}\genfrac{(}{)}{0.0pt}% {}{n+1}{k+1}S\left(n+k,k\right)\bigg{/}\genfrac{(}{)}{0.0pt}{}{n+k}{k},}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • S ⁑ ( n , k ) Stirling-number-second-kind-S 𝑛 π‘˜ {\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}} :
  • ( m n ) binomial π‘š 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k π‘˜ {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
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This page was last edited on 28 January 2024, at 10:30.
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