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Formula:8670

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Digital Library of Mathematical Functions ID 26.15.E10

2 ⁢ ( n ! ) ⁢ N 0 ⁢ ( B ) = 2 ⁢ ( n ! ) ⁢ ∑ k = 0 n ( - 1 ) k ⁢ 2 ⁢ n 2 ⁢ n - k ⁢ ( 2 ⁢ n - k k ) ⁢ ( n - k ) ! . 2 𝑛 subscript 𝑁 0 𝐵 2 𝑛 superscript subscript 𝑘 0 𝑛 superscript 1 𝑘 2 𝑛 2 𝑛 𝑘 binomial 2 𝑛 𝑘 𝑘 𝑛 𝑘 {\displaystyle{\displaystyle 2(n!)N_{0}(B)=2(n!)\sum_{k=0}^{n}(-1)^{k}\frac{2n% }{2n-k}\genfrac{(}{)}{0.0pt}{}{2n-k}{k}{(n-k)!}.}}


Constraint(s)

Symbols List

  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • ! {\displaystyle{\displaystyle!}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • B 𝐵 {\displaystyle{\displaystyle B}} : subset
  • N ⁢ ( x , B ) 𝑁 𝑥 𝐵 {\displaystyle{\displaystyle N(x,B)}} : generating function
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This page was last edited on 28 January 2024, at 10:30.
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