"rook polynomial" meaning in English

{
  "etymology_text": "Coined by John Riordan (mathematician).",
  "forms": [
    {
      "form": "rook polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
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    {
      "args": {},
      "expansion": "rook polynomial (plural rook polynomials)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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      ],
      "glosses": [
        "A generating polynomial of the number of ways to place non-attacking rooks on a generalized form of chessboard."
      ],
      "id": "en-rook_polynomial-en-noun-6kuV1WZ3",
      "links": [
        [
          "combinatorics",
          "combinatorics"
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        [
          "chessboard",
          "chessboard"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A generating polynomial of the number of ways to place non-attacking rooks on a generalized form of chessboard."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "John Riordan (mathematician)"
      ]
    }
  ],
  "word": "rook polynomial"
}

{
  "etymology_text": "Coined by John Riordan (mathematician).",
  "forms": [
    {
      "form": "rook polynomials",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "rook polynomial (plural rook polynomials)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English multiword terms",
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        "en:Combinatorics"
      ],
      "glosses": [
        "A generating polynomial of the number of ways to place non-attacking rooks on a generalized form of chessboard."
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "chessboard",
          "chessboard"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) A generating polynomial of the number of ways to place non-attacking rooks on a generalized form of chessboard."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "John Riordan (mathematician)"
      ]
    }
  ],
  "word": "rook polynomial"
}