"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",
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          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
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          "name": "Numbers",
          "orig": "en:Numbers",
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          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The nᵗʰ tetrahedral number can be calculated with the formula #x7B;(n#x2B;1)³-(n#x2B;1)#x5C;over 6#x7D;.",
          "type": "example"
        }
      ],
      "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": [
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      "expansion": "tetrahedral number (plural tetrahedral numbers)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "en:Mathematics",
        "en:Numbers"
      ],
      "examples": [
        {
          "text": "The nᵗʰ tetrahedral number can be calculated with the formula #x7B;(n#x2B;1)³-(n#x2B;1)#x5C;over 6#x7D;.",
          "type": "example"
        }
      ],
      "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"
        ],
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          "summation",
          "summation"
        ],
        [
          "consecutive",
          "consecutive"
        ],
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          "triangular number",
          "triangular number"
        ],
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          "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"
}