Problem 53760. Easy Sequences 62: Sum of Omega-3 Function

Created by Ramon Villamangca

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For an integer </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t>, the </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Prime_omega_function\"><w:r><w:t>prime big omega</w:t></w:r></w:hyperlink><w:r><w:t> function, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\Omega(n)</w:t></w:r></w:customXml><w:r><w:t>, is defined as the total number of prime factors of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t>. If </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n=300</w:t></w:r></w:customXml><w:r><w:t>, since </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>300 = 2^2\\cdot3^1\\cdot5^2</w:t></w:r></w:customXml><w:r><w:t>, therefore </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\Omega(300) = 2 + 1 + 2 =5</w:t></w:r></w:customXml><w:r><w:t>. The omega-3 function (</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\Omega_{3}(n)</w:t></w:r></w:customXml><w:r><w:t>), is defined as raising </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>3</w:t></w:r></w:customXml><w:r><w:t> to the power of the prime big omega of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t>, i.e. </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\Omega_{3}(n) = 3^{\\Omega(n)</w:t></w:r></w:customXml><w:r><w:t>. In the example above, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>\\Omega_{3}(300) = 3^5 = 243</w:t></w:r></w:customXml><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Given an integer </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, write a function that returns the sum of omega-3's of all integers from </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>1</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t> to </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>.</w:t></w:r><w:r><w:t> For example for </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n=10</w:t></w:r></w:customXml><w:r><w:t> the function output should be </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>76</w:t></w:r></w:customXml><w:r><w:t>, since:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t> </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>\\sum_{i=1}^{10} \\Omega_{3}(i) = \\Omega_{3}(1)+\\Omega_{3}(2)+\\Omega_{3}(3)+\\Omega_{3}(4)+\\Omega_{3}(5)+\\Omega_{3}(6)+\\Omega_{3}(7)+\\Omega_{3}(8)+\\Omega_{3}(9)+\\Omega_{3}(10)\\\\\n\\ \\ \\ \\ \\ \\ \\ \\ = \\ 3^{\\Omega(1)} + 3^{\\Omega(2)} + 3^{\\Omega(3)} + 3^{\\Omega(4)} + 3^{\\Omega(5)} + 3^{\\Omega(6)} + 3^{\\Omega(7)} + 3^{\\Omega(8)} + 3^{\\Omega(9)} + 3^{\\Omega(10)}\\\\\n\\ \\ \\ \\ \\ \\ \\ \\ = \\ 3^{0} + 3^{1} + 3^{1} + 3^{2} + 3^{1} + 3^{2} + 3^{1} + 3^{3} + 3^{2} + 3^{2}\\ = \\ 1 + 3 + 3 + 9 + 3 + 9 + 3 + 27 + 9 + 9\\\\\n\\ \\ \\ \\ \\ \\ \\ \\ = \\ 76</w:t></w:r></w:customXml><w:r><w:t> </w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="block-size: 277px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; "><div style="block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">For an integer n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, the <a target='_blank' href = "https://en.wikipedia.org/wiki/Prime_omega_function">prime big omega</a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> function, <img src="data:image/png;base64,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" width="33.5" height="19" style="width: 33.5px; height: 19px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, is defined as the total number of prime factors of n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">. If <img src="data:image/png;base64,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" width="51.5" height="18" style="width: 51.5px; height: 18px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, since <img src="data:image/png;base64,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" width="103.5" height="19" style="width: 103.5px; height: 19px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, therefore <img src="data:image/png;base64,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" width="149.5" height="19" style="width: 149.5px; height: 19px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">. The omega-3 function (<img src="data:image/png;base64,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" width="38.5" height="20" style="width: 38.5px; height: 20px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">), is defined as raising 3<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> to the power of the prime big omega of n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, i.e. <img src="data:image/png;base64,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" width="84.5" height="21" style="width: 84.5px; height: 21px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">. In the example above, <img src="data:image/png;base64,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" width="125.5" height="21" style="width: 125.5px; height: 21px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">.</div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">Given an integer n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, write a function that returns the sum of omega-3's of all integers from 1<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> to n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">.<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> For example for <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAkCAYAAAANdf2OAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAWKADAAQAAAABAAAAJAAAAADbokXeAAADzklEQVRoBe2YbWjNURzHr8ck85CnMMZSJhQtLG6NPJU3LGS1d8gLpSgtLa/kHVrykJgkaeKVpyykJZI8tEhebGpmM7QwmYe14fvd/R2dezpn/3Nbavfe86vPPef8ft/zv+f87vmf//nfWCxYyEDIQMhAyEDIQMhAyEDIQOoZmJlil4HQ54M4yEmxb1bJ52C2l8H3FGZdBm0DeA1OSlmLsgQEkwwUoKwG3eAP+Al8bAtEv8ExMEA6cDWfBl2gVHxZXazH7MvBOtACfBO8CVr+II1gBNBtJBpNgEleqweyvc5V7JNgrtK3ot3rSFqFxJ/Y4rxANlqH56RXQZcr2nuOPspfiPgihybr3FWYsc8Kvig6PgyHOrJE/w/RnTM1Pit4PDqNNTpyL8o3fJnYXCmTakDZ6Zgg/fUSi5saW4K5zPeDa4D7z0cwBdB49jsLPgMeV2pBptowTEwtrC8Rk2yXOLcTdcrocQ22dGyF7wHYCiaDRvAcTAA3wBVwCuwAxWAeeAF8bANEy32EEZp9iEdNOuISkeFJmkIlUHMlVVWc28VE8D4p6mjUwM996ggYDriiZwPaYsAY4a/ma5UQqn59KVP5TtvYqmQcvZ2D49pYz9suovkuaNqFmj9mW8GMDwFLRXgV5QlwALwS3ywp21A2S92nuASRuoaP3qXhFvW/jS8WyrpUxVH+0vzcWv6ZK8FLoOCDjLch999n4BFQViSVO8rhWT6EjqSD6bf5qIgB6/FWXetK8GoR1aFcA8r0TqivkPYtw59JzQ/aZEZrdVt1jOZMSrDmT6ryrYR7JG/FvKRIoq32T3W6MCT9vumzB3MSvIM5V97BvRnj1H01RbYVPA6iBSI8g/KN0YlvN7SXoKWn5v+RTqcIzuomKAXTAI9fTKJp9E8V510zaGvzgrwQN3le2DQ+qBg/bAY82pXSl/37Qq7Hd/Um8V3BJdo4+RenzebCqeay0RTYVrDaf+9D3GR04IuJuf/Oh68edBhaWzOdThEcfw34BvjALwa8a01bJo52lNfNoK3dDCd/kZ2WIJPJWCfg2XgG4BnR9kYId7+1aoyM89CPV67BbhftY5SDDBEX6FOJ7zJi1iZvA34xmQ5M2wwHY58AVzp/Ye7Z6WQ5GKxaRJxLgcfgD0FDbbmhrRC/93a5Wzrw1dhmPDVw9fLLqMkD6WJFGOhxwAczx6/gseoo2AZcxjuUSeR2cRvsAXwHYPsg4IPOas6AVZ1w8j8JPjXrQHfClTWfvFsLARfaO8DjbBsIFjIQMhAyEDIQMhAyEDIQMhAyEDKgZeAv/Qvne8Rn4VIAAAAASUVORK5CYII=" width="44" height="18" style="width: 44px; height: 18px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> the function output should be <img src="data:image/png;base64,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" width="18" height="18" style="width: 18px; height: 18px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; ">, since:</div><div style="block-size: 133px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> <img 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" width="621.5" height="112" style="width: 621.5px; height: 112px;"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; "> </div></div></div>

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Last Solution submitted on May 17, 2023

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William on 7 Jan 2022

Ramon, you might want to make a small correction to the last formula in the description, though it makes no difference to the problem. The "product" symbol was probably meant to be a "summation" symbol.

Ramon Villamangca on 8 Jan 2022

Thanks, William.

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Problem 53760. Easy Sequences 62: Sum of Omega-3 Function

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Problem 53760. Easy Sequences 62: Sum of Omega-3 Function

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