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Formula:8249

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Digital Library of Mathematical Functions ID 24.14.E11

det ⁡ [ B r + s ] = ( - 1 ) n ⁢ ( n + 1 ) / 2 ⁢ ( ∏ k = 1 n k ! ) 6 / ( ∏ k = 1 2 ⁢ n + 1 k ! ) , delimited-[] Bernoulli-number-B 𝑟 𝑠 superscript 1 𝑛 𝑛 1 2 superscript superscript subscript product 𝑘 1 𝑛 𝑘 6 superscript subscript product 𝑘 1 2 𝑛 1 𝑘 {\displaystyle{\displaystyle\det[B_{r+s}]=(-1)^{n(n+1)/2}\left(\prod_{k=1}^{n}% k!\right)^{6}\Bigg{/}\left(\prod_{k=1}^{2n+1}k!\right),}}


Constraint(s)

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • det {\displaystyle{\displaystyle\det}} :
  • ! {\displaystyle{\displaystyle!}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • r 𝑟 {\displaystyle{\displaystyle r}} : row
  • s 𝑠 {\displaystyle{\displaystyle s}} : column
  •  Edit this on Wikidata

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