{
  "id": "multifactorial-n-to-n-calculator",
  "version": "1.0.0",
  "name": "Multifactorial Calculator n! to n!!!!!",
  "shortName": "Multifactorial Calculator n! to n!!!!!",
  "description": "Calculate n-factorials with step sizes from one through five using exact integer arithmetic.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "multifactorial",
    "calculator",
    "n",
    "to",
    "multifactorial n to n calculator"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/multifactorial-n-to-n-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "1.0.0",
    "referenceCoverage": "references-pending",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-09-01",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/multifactorial-n-to-n-calculator/",
    "definition": "/calculator/multifactorial-n-to-n-calculator/definition.json",
    "schema": "/calculator/multifactorial-n-to-n-calculator/schema.json",
    "llms": "/calculator/multifactorial-n-to-n-calculator/llms.txt",
    "legacyDefinition": "/calculator/multifactorial-n-to-n-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/multifactorial-n-to-n-calculator/?n=10&order=2",
  "queryParameters": {
    "n": {
      "label": "n",
      "type": "number",
      "required": true,
      "default": 10
    },
    "order": {
      "label": "Number of factorial marks",
      "type": "number",
      "required": true,
      "default": 2
    }
  },
  "inputs": [
    {
      "id": "n",
      "label": "n",
      "type": "number",
      "required": true,
      "defaultValue": 10,
      "min": 0,
      "max": 10000,
      "step": 1
    },
    {
      "id": "order",
      "label": "Number of factorial marks",
      "type": "number",
      "required": true,
      "defaultValue": 2,
      "min": 1,
      "max": 5,
      "step": 1
    }
  ],
  "outputs": [
    {
      "id": "result",
      "label": "Multifactorial",
      "format": "text",
      "primary": true
    },
    {
      "id": "termCount",
      "label": "Number of multiplied terms",
      "format": "integer"
    },
    {
      "id": "notation",
      "label": "Notation",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "n!ₖ = n(n − k)(n − 2k)… until the next factor would be nonpositive"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "n": 10,
        "order": 2
      }
    }
  ],
  "sources": []
}