"tetrahedral number" meaning in English

{
  "forms": [
    {
      "form": "tetrahedral numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "tetrahedral number (plural tetrahedral 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 topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Numbers",
          "orig": "en:Numbers",
          "parents": [
            "All topics",
            "Terms by semantic function",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The nᵗʰ tetrahedral number can be calculated with the formula (n+1)³-(n+1)/6."
        }
      ],
      "glosses": [
        "A number which results from the summation of consecutive triangular numbers, starting from 1. If the triangular numbers in such a summation are depicted as horizontal triangular arrays of units then these arrays can be stacked vertically to yield a tetrahedral array."
      ],
      "id": "en-tetrahedral_number-en-noun-EJJv~skK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "summation",
          "summation"
        ],
        [
          "consecutive",
          "consecutive"
        ],
        [
          "triangular number",
          "triangular number"
        ],
        [
          "array",
          "array"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A number which results from the summation of consecutive triangular numbers, starting from 1. If the triangular numbers in such a summation are depicted as horizontal triangular arrays of units then these arrays can be stacked vertically to yield a tetrahedral array."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "tetrahedral number"
      ]
    }
  ],
  "word": "tetrahedral number"
}

{
  "forms": [
    {
      "form": "tetrahedral numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "tetrahedral number (plural tetrahedral 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 topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics",
        "en:Numbers"
      ],
      "examples": [
        {
          "text": "The nᵗʰ tetrahedral number can be calculated with the formula (n+1)³-(n+1)/6."
        }
      ],
      "glosses": [
        "A number which results from the summation of consecutive triangular numbers, starting from 1. If the triangular numbers in such a summation are depicted as horizontal triangular arrays of units then these arrays can be stacked vertically to yield a tetrahedral array."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "summation",
          "summation"
        ],
        [
          "consecutive",
          "consecutive"
        ],
        [
          "triangular number",
          "triangular number"
        ],
        [
          "array",
          "array"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A number which results from the summation of consecutive triangular numbers, starting from 1. If the triangular numbers in such a summation are depicted as horizontal triangular arrays of units then these arrays can be stacked vertically to yield a tetrahedral array."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "tetrahedral number"
      ]
    }
  ],
  "word": "tetrahedral number"
}