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Formula:8506

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Digital Library of Mathematical Functions ID 26.6.E11

M ⁢ ( n ) = M ⁢ ( n - 1 ) + ∑ k = 2 n M ⁢ ( k - 2 ) ⁢ M ⁢ ( n - k ) , 𝑀 𝑛 𝑀 𝑛 1 superscript subscript 𝑘 2 𝑛 𝑀 𝑘 2 𝑀 𝑛 𝑘 {\displaystyle{\displaystyle M(n)=M(n-1)+\sum_{k=2}^{n}M(k-2)\,M(n-k),}}


Constraint(s)

n ≥ 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}}

Symbols List

  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • M ⁢ ( n ) 𝑀 𝑛 {\displaystyle{\displaystyle M(n)}} : Motzkin number (locally)
  •  Edit this on Wikidata

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