"harmonic number" meaning in All languages combined

{
  "forms": [
    {
      "form": "harmonic numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "harmonic number (plural harmonic 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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Japanese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "The fourth harmonic number has a value of H_3=∑ₖ₌₁³1/k=1/1+1/2+1/3=1 5/6."
        }
      ],
      "glosses": [
        "Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers"
      ],
      "id": "en-harmonic_number-en-noun-kmNpYCCW",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "reciprocal",
          "reciprocal"
        ],
        [
          "natural numbers",
          "natural numbers"
        ]
      ],
      "raw_glosses": [
        "(number theory) Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers"
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "translations": [
        {
          "code": "it",
          "lang": "Italian",
          "sense": "number",
          "tags": [
            "masculine"
          ],
          "word": "numero armonico"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "sense": "number",
          "word": "調和数"
        }
      ],
      "wikipedia": [
        "harmonic number"
      ]
    }
  ],
  "word": "harmonic number"
}

{
  "forms": [
    {
      "form": "harmonic numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "harmonic number (plural harmonic numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Italian translations",
        "Terms with Japanese translations",
        "en:Number theory"
      ],
      "examples": [
        {
          "text": "The fourth harmonic number has a value of H_3=∑ₖ₌₁³1/k=1/1+1/2+1/3=1 5/6."
        }
      ],
      "glosses": [
        "Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers"
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "reciprocal",
          "reciprocal"
        ],
        [
          "natural numbers",
          "natural numbers"
        ]
      ],
      "raw_glosses": [
        "(number theory) Any of a series of numbers formed from the sum of the reciprocals of consecutive natural numbers"
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ],
      "wikipedia": [
        "harmonic number"
      ]
    }
  ],
  "translations": [
    {
      "code": "it",
      "lang": "Italian",
      "sense": "number",
      "tags": [
        "masculine"
      ],
      "word": "numero armonico"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "sense": "number",
      "word": "調和数"
    }
  ],
  "word": "harmonic number"
}