Problem 42841. Return the sequence element III

Created by HH

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This problem is related to</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42832-segmented-number-sequence\"><w:r><w:t>Problem 42832</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given positive integers x1, x2 and n, return a positive integer, y, which is the nth term in the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Ulam_number\"><w:r><w:t>Ulam sequence</w:t></w:r></w:hyperlink><w:r><w:t> beginning with [x1 x2].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>An Ulam sequence is an increasing sequence of positive integers, beginning with two arbitrary integers, x1 and x2. Every subsequent element is the smallest integer that can be expressed uniquely by the sum of any two distinct preceding elements. In other words, integers that can be expressed as sums of two distinct preceding elements in more than one way are excluded.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Assume n &gt; 2.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>x1 = 1</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>x2 = 2</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>n = 5</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>y = 6</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

42 Solutions
16 Solvers

Last Solution submitted on Jun 30, 2020

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Nikolaos Nikolaou on 30 Jun 2020

This problem deserves to be is some of the groups :)

Problem Recent Solvers16

Problem Tags

numbers sequence ulam

Problem 42841. Return the sequence element III

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers16

Suggested Problems

More from this Author34

Problem Tags

Problem 42841. Return the sequence element III

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers16

Suggested Problems

More from this Author34

Problem Tags

Players