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Formula:7991

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Digital Library of Mathematical Functions ID 23.9.E8

a m , n = 3 ⁢ ( m + 1 ) ⁢ a m + 1 , n - 1 + 16 3 ⁢ ( n + 1 ) ⁢ a m - 2 , n + 1 - 1 3 ⁢ ( 2 ⁢ m + 3 ⁢ n - 1 ) ⁢ ( 4 ⁢ m + 6 ⁢ n - 1 ) ⁢ a m - 1 , n . subscript 𝑎 𝑚 𝑛 3 𝑚 1 subscript 𝑎 𝑚 1 𝑛 1 16 3 𝑛 1 subscript 𝑎 𝑚 2 𝑛 1 1 3 2 𝑚 3 𝑛 1 4 𝑚 6 𝑛 1 subscript 𝑎 𝑚 1 𝑛 {\displaystyle{\displaystyle a_{m,n}=3(m+1)a_{m+1,n-1}+\tfrac{16}{3}(n+1)a_{m-% 2,n+1}-\tfrac{1}{3}(2m+3n-1)(4m+6n-1)a_{m-1,n}.}}


Constraint(s)

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • a m , n subscript 𝑎 𝑚 𝑛 {\displaystyle{\displaystyle a_{m,n}}} : coefficients
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