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Formula:8505

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Digital Library of Mathematical Functions ID 26.6.E10

D ⁒ ( m , n ) = D ⁒ ( m , n - 1 ) + D ⁒ ( m - 1 , n ) + D ⁒ ( m - 1 , n - 1 ) , 𝐷 π‘š 𝑛 𝐷 π‘š 𝑛 1 𝐷 π‘š 1 𝑛 𝐷 π‘š 1 𝑛 1 {\displaystyle{\displaystyle D(m,n)=D(m,n-1)+D(m-1,n)+D(m-1,n-1),}}


Constraint(s)

m , n β‰₯ 1 π‘š 𝑛 1 {\displaystyle{\displaystyle m,n\geq 1}}

Symbols List

  • m π‘š {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • D ⁒ ( m , n ) 𝐷 π‘š 𝑛 {\displaystyle{\displaystyle D(m,n)}} : Delannoy number (locally)
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This page was last edited on 28 January 2024, at 10:30.
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