"Narayana number" meaning in English

{
  "etymology_text": "Named after Canadian mathematician T. V. Narayana (1930–1987).",
  "forms": [
    {
      "form": "Narayana numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Narayana number (plural Narayana numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
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          "source": "w"
        },
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          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Combinatorics",
          "orig": "en:Combinatorics",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of the triangular array of natural numbers defined by N(n, k), n = 1, 2, 3 ..., 1 ≤ k ≤ n, occurring in various counting problems."
      ],
      "id": "en-Narayana_number-en-noun-yVZEcEzg",
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "triangular",
          "triangular"
        ],
        [
          "array",
          "array"
        ],
        [
          "natural number",
          "natural number"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) Any of the triangular array of natural numbers defined by N(n, k), n = 1, 2, 3 ..., 1 ≤ k ≤ n, occurring in various counting problems."
      ],
      "related": [
        {
          "word": "Narayana triangle"
        }
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Narayana number"
      ]
    }
  ],
  "word": "Narayana number"
}

{
  "etymology_text": "Named after Canadian mathematician T. V. Narayana (1930–1987).",
  "forms": [
    {
      "form": "Narayana numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Narayana number (plural Narayana numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Narayana triangle"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Combinatorics"
      ],
      "glosses": [
        "Any of the triangular array of natural numbers defined by N(n, k), n = 1, 2, 3 ..., 1 ≤ k ≤ n, occurring in various counting problems."
      ],
      "links": [
        [
          "combinatorics",
          "combinatorics"
        ],
        [
          "triangular",
          "triangular"
        ],
        [
          "array",
          "array"
        ],
        [
          "natural number",
          "natural number"
        ]
      ],
      "raw_glosses": [
        "(combinatorics) Any of the triangular array of natural numbers defined by N(n, k), n = 1, 2, 3 ..., 1 ≤ k ≤ n, occurring in various counting problems."
      ],
      "topics": [
        "combinatorics",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Narayana number"
      ]
    }
  ],
  "word": "Narayana number"
}