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Formula:8501

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Digital Library of Mathematical Functions ID 26.6.E6

∑ n = 0 ∞ D ⁢ ( n , n ) ⁢ x n = 1 1 - 6 ⁢ x + x 2 , superscript subscript 𝑛 0 𝐷 𝑛 𝑛 superscript 𝑥 𝑛 1 1 6 𝑥 superscript 𝑥 2 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}D(n,n)x^{n}=\frac{1}{\sqrt{1-6x% +x^{2}}},}}


Constraint(s)

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • D ⁢ ( m , n ) 𝐷 𝑚 𝑛 {\displaystyle{\displaystyle D(m,n)}} : Delannoy number (locally)
  • x 𝑥 {\displaystyle{\displaystyle x}} : small
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This page was last edited on 28 January 2024, at 10:30.
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