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Formula:8240

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Digital Library of Mathematical Functions ID 24.14.E2

∑ k = 0 n ( n k ) ⁢ B k ⁢ B n - k = ( 1 - n ) ⁢ B n - n ⁢ B n - 1 . superscript subscript 𝑘 0 𝑛 binomial 𝑛 𝑘 Bernoulli-number-B 𝑘 Bernoulli-number-B 𝑛 𝑘 1 𝑛 Bernoulli-number-B 𝑛 𝑛 Bernoulli-number-B 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{n}{n\choose k}B_{k}B_{n-k}=(1-n)B_{n}-% nB_{n-1}.}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k 𝑘 {\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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