rook polynomial

generating polynomial of the number of ways to place k non-attacking rooks on a m×n chessboard
Thing general Q12594240
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rook polynomial

Summary

rook polynomial ranks in the top 2% of general entities by monthly Wikipedia readership (25 views/month).[1]

Key Facts

  • rook is named after rook polynomial[2].
  • rook polynomial's subclass of is recorded as polynomial[3].
  • rook polynomial's subclass of is recorded as generating function[4].
  • rook polynomial's Freebase ID is recorded as /m/03crkgx[5].
  • rook polynomial's defining formula is recorded as R_{m,n}(x)=n!x^nL_n^{(m-n)}(-x^{-1})[6].
  • rook polynomial's MathWorld ID is recorded as RookPolynomial[7].
  • rook polynomial's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • rook polynomial's Microsoft Academic ID is recorded as 87986902[9].

Why It Matters

rook polynomial ranks in the top 2% of general entities by monthly Wikipedia readership (25 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10]

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). rook polynomial. Retrieved April 10, 2026, from https://4ort.xyz/entity/rook-polynomial
MLA “rook polynomial.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/rook-polynomial.
BibTeX @misc{4ortxyz_rook-polynomial_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rook polynomial}}, year = {2026}, url = {https://4ort.xyz/entity/rook-polynomial}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rook polynomial — https://4ort.xyz/entity/rook-polynomial (retrieved 2026-04-10)

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