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combinatorics / Enumerative combinatorics

Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts

Spahn and Zeilberger's third challenge asks whether the restricted permutation counts $a_{r,s}$ and $b_{r,s}$ are holonomic for all $r, s > 1$. Answered affirmatively.

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combinatoricsAug 11, 2026Significance 15/100Registry: unreviewed

Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts

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Spahn and Zeilberger's third challenge asks whether the restricted permutation counts $a_{r,s}$ and $b_{r,s}$ are holonomic for all $r, s > 1$. Answered affirmatively.

Source authenticatedSpahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts →
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Spahn and Zeilberger's third challenge asks whether the restricted permutation counts $a_{r,s}$ and $b_{r,s}$ are holonomic for all $r, s > 1$. Answered affirmatively.

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