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Formula:8504

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Digital Library of Mathematical Functions ID 26.6.E9

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


Constraint(s)

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • r ⁢ ( n ) 𝑟 𝑛 {\displaystyle{\displaystyle r(n)}} : Schröder 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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