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Formula:8484

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Digital Library of Mathematical Functions ID 26.4.E6

M 1 = ( n 1 , … , 1 ⏞ a 1 , … , n , … , n ⏞ a n ) = n ! ( 1 ! ) a 1 ⁢ ( 2 ! ) a 2 ⁢ ⋯ ⁢ ( n ! ) a n . subscript 𝑀 1 𝑛 superscript ⏞ 1 … 1 subscript 𝑎 1 … superscript ⏞ 𝑛 … 𝑛 subscript 𝑎 𝑛 𝑛 superscript 1 subscript 𝑎 1 superscript 2 subscript 𝑎 2 ⋯ superscript 𝑛 subscript 𝑎 𝑛 {\displaystyle{\displaystyle M_{1}=\begin{pmatrix}n\\ \overbrace{1,\ldots,1}^{a_{1}},\ldots,\overbrace{n,\ldots,n}^{a_{n}}\end{% pmatrix}=\frac{n!}{(1!)^{a_{1}}(2!)^{a_{2}}\cdots(n!)^{a_{n}}}.}}


Constraint(s)

Symbols List

  • ! {\displaystyle{\displaystyle!}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}} : nonnegative integers
  • M 1 subscript 𝑀 1 {\displaystyle{\displaystyle M_{1}}} : multinomial coefficient
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This page was last edited on 28 January 2024, at 11:30.
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