"Schröder number" meaning in English

{
  "etymology_text": "Named after the German mathematician Ernst Schröder.",
  "forms": [
    {
      "form": "Schröder numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Schröder number (plural Schröder 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": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The number of possible lattice paths from the southwest corner (0, 0) of an n × n grid to the northeast corner (n, n), using only single steps north, northeast or east, and not rising above the southwest–northeast diagonal."
      ],
      "id": "en-Schröder_number-en-noun-7BT9qtT3",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "grid",
          "grid"
        ],
        [
          "diagonal",
          "diagonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The number of possible lattice paths from the southwest corner (0, 0) of an n × n grid to the northeast corner (n, n), using only single steps north, northeast or east, and not rising above the southwest–northeast diagonal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Schröder number"
      ]
    }
  ],
  "word": "Schröder number"
}

{
  "etymology_text": "Named after the German mathematician Ernst Schröder.",
  "forms": [
    {
      "form": "Schröder numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Schröder number (plural Schröder numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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 spelled with Ö",
        "English terms spelled with ◌̈",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "The number of possible lattice paths from the southwest corner (0, 0) of an n × n grid to the northeast corner (n, n), using only single steps north, northeast or east, and not rising above the southwest–northeast diagonal."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "grid",
          "grid"
        ],
        [
          "diagonal",
          "diagonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The number of possible lattice paths from the southwest corner (0, 0) of an n × n grid to the northeast corner (n, n), using only single steps north, northeast or east, and not rising above the southwest–northeast diagonal."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Schröder number"
      ]
    }
  ],
  "word": "Schröder number"
}