{"id":12499,"date":"2021-09-30T17:00:42","date_gmt":"2021-09-30T11:30:42","guid":{"rendered":"https:\/\/python-programs.com\/?p=12499"},"modified":"2021-11-22T18:33:33","modified_gmt":"2021-11-22T13:03:33","slug":"python-program-to-find-the-nth-kynea-number","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-find-the-nth-kynea-number\/","title":{"rendered":"Python Program to find the nth Kynea Number"},"content":{"rendered":"<p>Don&#8217;t miss the chance of <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Java programs examples with output pdf free download<\/a> as it is very essential for all beginners to experienced programmers for cracking the interviews.<\/p>\n<p>Given the number n, the task is to print nth Kynea Number in Python.<\/p>\n<p>Kynea number is a mathematical integer of the type<\/p>\n<p>nth = 4^n + 2^(n + 1) &#8211; 1, where n is a positive integer.<\/p>\n<p>Which can be also written as<\/p>\n<blockquote><p>\u00a0 <img class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/18ea2f6edbc8173f33f51b9967e557cae938707d\" alt=\"(2^n + 1)^2 - 2\" aria-hidden=\"true\" \/><\/p><\/blockquote>\n<p>The initial Kynea numbers are<\/p>\n<p>7, 23, 79, 287, 1087, 4223, 16639,&#8230;&#8230;&#8230;&#8230;..<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given nth number =6<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The nth Kynea number = 4223<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given nth number =8<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>The nth Kynea number = 66047<\/pre>\n<h2>Python Program to find the nth Kynea Number<\/h2>\n<p>Below are the ways to program to find the nth Kynea Number.<\/p>\n<ul>\n<li><a href=\"#Using_**_operator_(Static_Input)\">Using ** operator (Static Input)<\/a><\/li>\n<li><a href=\"#Using_**_operator_(User_Input)\">Using ** operator (User Input)<\/a><\/li>\n<li><a href=\"#Using_pow_operator_(Static_Input)\">Using pow operator (Static Input)<\/a><\/li>\n<li><a href=\"#Using_pow_operator_(User_Input)\">Using pow operator (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_**_operator_(Static_Input)\">Method #1: Using ** operator (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number n as static input and store it in a variable.<\/li>\n<li>Calculate the power of 2^n using the ** operator and store it in another variable say <strong>partialres<\/strong>.<\/li>\n<li>Calculate the value of <strong>(partialres+1)^2-2\u00a0<\/strong>using ** and arithmetic operators.<\/li>\n<li>Print the result.<\/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 n as static input and store it in a variable.\r\nnthNum = 6\r\n# Calculate the power of 2^n using the ** operator\r\n# and store it in another variable say partialres.\r\npartialres = 2**nthNum\r\n# Calculate the value of (partialres+1)^2-2\u00a0\r\n# using ** and arithmetic operators.\r\nnthresult = (partialres+1)**2-2\r\n# Print the result.\r\nprint('The nth Kynea number =', nthresult)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The nth Kynea number = 4223<\/pre>\n<h3 id=\"Using_**_operator_(User_Input)\">Method #2: Using ** operator (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number n as user input using int(input()) and store it in a variable.<\/li>\n<li>Calculate the power of 2^n using the ** operator and store it in another variable say <strong>partialres<\/strong>.<\/li>\n<li>Calculate the value of <strong>(partialres+1)^2-2\u00a0<\/strong>using ** and arithmetic operators.<\/li>\n<li>Print the result.<\/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 n as user input using int(input()) and store it in a variable.\r\nnthNum = int(input('Enter some random nth Number = '))\r\n# Calculate the power of 2^n using the ** operator\r\n# and store it in another variable say partialres.\r\npartialres = 2**nthNum\r\n# Calculate the value of (partialres+1)^2-2\u00a0\r\n# using ** and arithmetic operators.\r\nnthresult = (partialres+1)**2-2\r\n# Print the result.\r\nprint('The nth Kynea number =', nthresult)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random nth Number = 9\r\nThe nth Kynea number = 263167<\/pre>\n<h3 id=\"Using_pow_operator_(Static_Input)\">Method #3: Using pow operator (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number n as static input and store it in a variable.<\/li>\n<li>Calculate the power of 2^n using the pow function and store it in another variable say <strong>partialres<\/strong>.<\/li>\n<li>Calculate the value of <strong>(partialres+1)^2-2\u00a0<\/strong>using the pow function and arithmetic operators.<\/li>\n<li>Print the result.<\/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 n as static input and store it in a variable.\r\nnthNum = 6\r\n# Calculate the power of 2^n using the pow function\r\n# and store it in another variable say partialres.\r\npartialres = 2**nthNum\r\n# Calculate the value of (partialres+1)^2-2\u00a0\r\n# using pow function and arithmetic operators.\r\nnthresult = (partialres+1)**2-2\r\n# Print the result.\r\nprint('The nth Kynea number =', nthresult)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The nth Kynea number = 4223<\/pre>\n<h3 id=\"Using_pow_operator_(User_Input)\">Method #4: Using pow operator (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number n as user input using int(input()) and store it in a variable.<\/li>\n<li>Calculate the power of 2^n using the pow function and store it in another variable say <strong>partialres<\/strong>.<\/li>\n<li>Calculate the value of <strong>(partialres+1)^2-2\u00a0<\/strong>using the pow function and arithmetic operators.<\/li>\n<li>Print the result.<\/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 n as user input using int(input()) and store it in a variable.\r\nnthNum = int(input('Enter some random nth Number = '))\r\n# Calculate the power of 2^n using the pow function\r\n# and store it in another variable say partialres.\r\npartialres = 2**nthNum\r\n# Calculate the value of (partialres+1)^2-2\u00a0\r\n# using pow function and arithmetic operators.\r\nnthresult = (partialres+1)**2-2\r\n# Print the result.\r\nprint('The nth Kynea number =', nthresult)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random nth Number = 8\r\nThe nth Kynea number = 66047<\/pre>\n<p><strong>Related Programs<\/strong>:<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-factorial-of-a-number\/\">python program to find the factorial of a number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-factors-of-a-number\/\">python program to find the factors of a number<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-missing-number-in-an-array-list\/\">python program to find the missing number in an array list<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-second-largest-number-in-a-list\/\">python program to find the second largest number in a list<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-all-numbers-in-a-range-which-are-perfect-squares-and-sum-of-all-digits-in-the-number-is-less-than-10\/\">python program to find all numbers in a range which are perfect squares and sum of all digits in the number is less than 10<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-sum-of-the-digits-of-the-number-recursively\/\">python program to find the sum of the digits of the number recursively<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-the-power-of-a-number-using-recursion\/\">python program to find the power of a number using recursion<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Don&#8217;t miss the chance of Java programs examples with output pdf free download as it is very essential for all beginners to experienced programmers for cracking the interviews. Given the number n, the task is to print nth Kynea Number in Python. Kynea number is a mathematical integer of the type nth = 4^n + &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-program-to-find-the-nth-kynea-number\/\"> <span class=\"screen-reader-text\">Python Program to find the nth Kynea Number<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":12533,"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 the nth Kynea 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-the-nth-kynea-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 the nth Kynea Number - Python Programs\" \/>\n<meta property=\"og:description\" content=\"Don&#8217;t miss the chance of Java programs examples with output pdf free download as it is very essential for all beginners to experienced programmers for cracking the interviews. 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Given the number n, the task is to print nth Kynea Number in Python. 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