{"id":18184,"date":"2021-09-30T11:00:17","date_gmt":"2021-09-30T05:30:17","guid":{"rendered":"https:\/\/python-programs.com\/?p=18184"},"modified":"2021-11-22T18:35:32","modified_gmt":"2021-11-22T13:05:32","slug":"python-program-for-double-factorial","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-for-double-factorial\/","title":{"rendered":"Python Program for Double Factorial"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-for-product-of-maximum-in-first-array-and-minimum-in-second\/\">Python Program for Product of Maximum in First array and Minimum in Second<\/a><br \/>\n<strong>Factorial:<\/strong><\/p>\n<p>The product of all positive integers less than or equal to n is the factorial of a non-negative integer n, denoted by n! in mathematics:<\/p>\n<p><strong>n! = n * (n &#8211; 1) *(n &#8211; 2) * . . . . . . . . . . 3 * 2 * 1.<\/strong><\/p>\n<p>4 != 4 * 3 * 2 *1=24<\/p>\n<p><strong>Double Factorial:<\/strong><\/p>\n<p>The product of all the integers from 1 to n with the same parity (odd or even) as n is the double factorial of a non-negative integer n. It is also known as a number&#8217;s semi factorial and is denoted by!!.<\/p>\n<p>For example, <strong>the double factorial of 7 is 7*5*3*1 = 105<\/strong><\/p>\n<p>It is worth noting that as a result of this definition, 0!! = 1.<\/p>\n<p>The double factorial for even number &#8216;n&#8217; is:<\/p>\n<p><img loading=\"lazy\" class=\"ql-img-inline-formula quicklatex-auto-format\" title=\"Rendered by QuickLaTeX.com\" src=\"https:\/\/tutorialspoint.dev\/image\/quicklatex.com-ae6047b881a40d44957a25f6ee66fae8_l3.png\" alt=\"n!!=prod_{k=1}^{n\/2}(2k)=n(n-2)(n-4).....4*2\" width=\"478\" height=\"40\" \/><\/p>\n<p>The double factorial for odd number &#8216;n&#8217; is:<\/p>\n<p><img loading=\"lazy\" class=\"ql-img-inline-formula quicklatex-auto-format\" title=\"Rendered by QuickLaTeX.com\" src=\"https:\/\/tutorialspoint.dev\/image\/quicklatex.com-38dea9fbc2e5fb01d04b0d3c5b18ff9d_l3.png\" alt=\"n!!=prod_{k=1}^{{n+1}\/2}(2k-1)=n(n-2)(n-4).....3*1\" width=\"545\" height=\"40\" \/><\/p>\n<p>Given a number &#8216;n&#8217; and the task is to find the double factorial of a given number.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example 1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given number = 5<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The double factorial of a given number{ 5 } =  15<\/pre>\n<p><strong>Example 2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given number = 10<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The double factorial of a given number{ 10 } =  3840<\/pre>\n<h2>Program for Double Factorial in Python<\/h2>\n<p>Below are the ways to find the double factorial of a given number.<\/p>\n<ul>\n<li><a href=\"#Using_For_Loop_(Static_Input)\">Using For Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop_(User_Input)\">Using For loop (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_Loop_(Static_Input)\">Method #1: Using For Loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as static input and store it in a variable.<\/li>\n<li>Take a variable, initialize it with the value &#8216;1&#8217;, and store it in another variable say &#8216;c&#8217;.<\/li>\n<li>Loop from the given number to 0 in decreasing order with the stepsize of -2 using the for loop.<\/li>\n<li>Inside the loop multiply the above initialized variable c with the iterator value and store it in the same variable &#8216;c&#8217;.<\/li>\n<li>Print the double factorial of a given number.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as static input and store it in a variable.\r\nnumbr = 8\r\n# Take a variable, initialize it with the value '1', and store it in another\r\n# variable say 'c'.\r\nc = 1\r\n# Loop from the given number to 0 in decreasing order with the stepsize of -2\r\n# using the for loop.\r\nfor i in range(numbr, 0, -2):\r\n    # Inside the loop multiply the above initialized variable c with the iterator value\r\n    # and store it in the same variable 'c'.\r\n    c *= i\r\n # Print the double factorial of a given number.\r\nprint(\"The double factorial of a given number{\", numbr, \"} = \", c)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The double factorial of a given number{ 8 } =  384<\/pre>\n<h3 id=\"Using_For_loop_(User_Input)\">Method #2: Using For loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Take a variable, initialize it with the value &#8216;1&#8217;, and store it in another variable say &#8216;c&#8217;.<\/li>\n<li>Loop from the given number to 0 in decreasing order with the stepsize of -2 using the for loop.<\/li>\n<li>Inside the loop multiply the above initialized variable c with the iterator value and store it in the same variable &#8216;c&#8217;.<\/li>\n<li>Print the double factorial of a given number.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Give the number as user input using the int(input()) function and store it in a variable.\r\nnumbr = int(input(\"Enter a random number = \"))\r\n# Take a variable, initialize it with the value '1', and store it in another\r\n# variable say 'c'.\r\nc = 1\r\n# Loop from the given number to 0 in decreasing order with the stepsize of -2\r\n# using the for loop.\r\nfor i in range(numbr, 0, -2):\r\n    # Inside the loop multiply the above initialized variable c with the iterator value\r\n    # and store it in the same variable 'c'.\r\n    c *= i\r\n # Print the double factorial of a given number.\r\nprint(\"The double factorial of a given number{\", numbr, \"} = \", c)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter a random number = 7\r\nThe double factorial of a given number{ 7 } = 105<\/pre>\n<p>Explore more instances related to python concepts from\u00a0<a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Programming Examples<\/a>\u00a0Guide and get promoted from beginner to professional programmer level in Python Programming Language.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-a-deck-of-cards-in-python\/\">Python Program to Print a Deck of Cards in Python<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-multiply-each-element-of-a-list-by-a-number\/\">Python Program to Multiply each Element of a List by a Number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-print-all-twin-primes-less-than-n\/\">Python Program to Print all Twin Primes less than N<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-enter-basic-salary-and-calculate-gross-salary-of-an-employee\/\">Python Program to Enter Basic Salary and Calculate Gross Salary of an Employee<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program for Product of Maximum in First array and Minimum in Second Factorial: The product of all positive integers less than or equal to n is the factorial of a non-negative integer n, denoted by n! in mathematics: n! = n * (n &#8211; 1) *(n &#8211; &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-for-double-factorial\/\"> <span class=\"screen-reader-text\">Python Program for Double Factorial<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python Program for Double Factorial - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-program-for-double-factorial\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program for Double Factorial - Python Programs\" \/>\n<meta property=\"og:description\" content=\"In the 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