{"id":25734,"date":"2021-12-04T09:20:05","date_gmt":"2021-12-04T03:50:05","guid":{"rendered":"https:\/\/python-programs.com\/?p=25734"},"modified":"2021-12-04T09:20:05","modified_gmt":"2021-12-04T03:50:05","slug":"python-program-to-find-nth-decagonal-number","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-nth-decagonal-number\/","title":{"rendered":"Python Program to Find nth Decagonal Number"},"content":{"rendered":"<p><strong> Decagonal Number:<\/strong><\/p>\n<p>A decagonal number is a figurate number that extends the triangle and square number concepts to the decagon (a ten-sided polygon). \u00a0The nth decagonal number counts the number of dots in a pattern of n nested decagons, each of which has a shared corner.<\/p>\n<p><strong>Formula to generate a Decagonal Number:<\/strong><\/p>\n<pre>D(n) = 4*n^2 - 3*n<\/pre>\n<p>Given a number and the task is to find the decagonal number of a given number.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given Number = 4<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The decagonal number of a given number { 4 } = \r\n52<\/pre>\n<p><strong>Example2:<\/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 decagonal number of a given number { 10 } = \r\n370<\/pre>\n<h2>Program to Find nth Decagonal Number in Python<\/h2>\n<ul>\n<li><a href=\"#Using_Mathematical_Formula_(Static_Input)\">Using Mathematical Formula (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Mathematical_Formula_(User_Input)\">Using Mathematical Formula (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Mathematical_Formula_(Static_Input)\">Method #1: <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Using Mathematical Formula (Static Input)&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:25089,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;16&quot;:14,&quot;17&quot;:1}\">Using Mathematical Formula (Static Input)<\/span><\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Create a function say Find_DecagonalNum() which accepts the given number as an argument and returns the decagonal number of the given number.<\/li>\n<li>Inside the function, calculate the decagonal number of a given number using the above given mathematical formula and return it.<\/li>\n<li>Give the number as static input and store it in a variable.<\/li>\n<li>Pass the given number to the Find_DecagonalNum() function store it in another variable.<\/li>\n<li>Print the\u00a0decagonal number 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\"># Create a function say Find_DecagonalNum() which accepts the given number as an\r\n# argument and returns the decagonal number of the given number.\r\n\r\n\r\ndef Find_DecagonalNum(gvn_num):\r\n    # Inside the function, calculate the decagonal number of a given number using the\r\n    # above given mathematical formula and return it.\r\n    return(4*gvn_num*gvn_num - 3*gvn_num)\r\n\r\n\r\n# Give the number as static input and store it in a variable.\r\ngvn_num = 4\r\n# Pass the given number to the Find_DecagonalNum() function store it in another\r\n# variable.\r\nrslt = Find_DecagonalNum(gvn_num)\r\n# Print the\u00a0decagonal number of a given number.\r\nprint(\"The decagonal number of a given number {\", gvn_num, \"} = \")\r\nprint(rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The decagonal number of a given number { 4 } = \r\n52<\/pre>\n<h3 id=\"Using_Mathematical_Formula_(User_Input)\">Method #2: <span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Using Mathematical Formula (User Input)&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:25089,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;16&quot;:14,&quot;17&quot;:1}\">Using Mathematical Formula (User Input)<\/span><\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Create a function say Find_DecagonalNum() which accepts the given number as an argument and returns the decagonal number of the given number.<\/li>\n<li>Inside the function, calculate the decagonal number of a given number using the above given mathematical formula and return it.<\/li>\n<li>Give the number as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Pass the given number to the Find_DecagonalNum() function store it in another variable.<\/li>\n<li>Print the\u00a0decagonal number 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\"># Create a function say Find_DecagonalNum() which accepts the given number as an\r\n# argument and returns the decagonal number of the given number.\r\n\r\n\r\ndef Find_DecagonalNum(gvn_num):\r\n    # Inside the function, calculate the decagonal number of a given number using the\r\n    # above given mathematical formula and return it.\r\n    return(4*gvn_num*gvn_num - 3*gvn_num)\r\n\r\n\r\n# Give the number as user input using the int(input()) function and store it in a variable.\r\ngvn_num = int(input(\"Enter some random number = \"))\r\n# Pass the given number to the Find_DecagonalNum() function store it in another\r\n# variable.\r\nrslt = Find_DecagonalNum(gvn_num)\r\n# Print the\u00a0decagonal number of a given number.\r\nprint(\"The decagonal number of a given number {\", gvn_num, \"} = \")\r\nprint(rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 10\r\nThe decagonal number of a given number { 10 } = \r\n370<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Decagonal Number: A decagonal number is a figurate number that extends the triangle and square number concepts to the decagon (a ten-sided polygon). \u00a0The nth decagonal number counts the number of dots in a pattern of n nested decagons, each of which has a shared corner. Formula to generate a Decagonal Number: D(n) = 4*n^2 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-nth-decagonal-number\/\"> <span class=\"screen-reader-text\">Python Program to Find nth Decagonal Number<\/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 to Find nth Decagonal Number - 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-to-find-nth-decagonal-number\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python Program to Find nth Decagonal Number - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Decagonal Number: A decagonal number is a figurate number that extends the triangle and square number concepts to the decagon (a ten-sided polygon). \u00a0The nth decagonal number counts the number of dots in a pattern of n nested decagons, each of which has a shared corner. 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