An interesting or inspiring sequence

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An interesting or inspiring sequence. Homework #1 Algorithms for Biological Sequence Analysis Instructor: Kun-Mao Chao TA: Yi-Ching Chen 2008/10/01. Sequence Permutation. This phrase makes sense in every permutation. A Hamiltonian path is a path that visits each vertex exactly once. - PowerPoint PPT Presentation

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<ul><li><p>An interesting or inspiring sequenceHomework #1 Algorithms for Biological Sequence Analysis</p><p>Instructor: Kun-Mao Chao TA: Yi-Ching Chen2008/10/01</p></li><li><p>Sequence PermutationD94922004 Source: My own observationThis phrase makes sense in every permutation.</p><p>A Hamiltonian path is a path that visits each vertex exactly once. </p></li><li><p>Other Examples : D94922004 </p></li><li><p>D96945018Source: http://zhidao.baidu.com/question/239094.html?fr=qrlhttp://blog.yam.com/virgo2693/article/3945997</p><p>SATORAREPOTENETOPERAROTAS</p></li><li><p>()29*29 </p><p>Source: http://kwai_22.mysinablog.com/index.php?op=ViewArticle&amp;articleId=1013735http://blog.yam.com/virgo2693/article/3945997</p><p>D96945018</p></li><li><p>D96945018</p></li><li><p>Tian-Shing Wang ()Source: , http://goods.ruten.com.tw/item/show?11070423227910</p><p>50</p></li><li><p>Prion Protein (p27-30)It causes mad cow disease in cattle and Creutzfeldt-Jakob disease (CJD) in humans.It has two different secondary structures. The abnormal structure could cause neural system diseases and infect normal proteins to be abnormal. The precursor of prionnormal formabnormal formR96922006 </p></li><li><p>Do you know what it means?Dwwdfn dw gdzqAttack at dawnEvery letter of the alphabet is shifted up 3 placesOne of the first ciphers is due to Julius Caesar</p><p>Source: cryptography courseR96922028 </p></li><li><p>Three Interesting SequencesFind the characteristics of the following three sequences and then figure out: What is the next member of the sequence?Think of this as some kind of brainteasers or puzzles!R96922054 </p></li><li><p>Q110, 11, 12, 13, 14, 20, 22, 101, ?</p><p>A: 1010a(n) = 10 in base (10-n)</p><p>R96922054 </p></li><li><p>Q21, 11, 21, 1211, 111221, 312211, ?</p><p>A: 13112221Read off the digits of the previous member, counting the number of digits in groups of the same digit.Ex: one 3, one 1, two 2s, two 1s 1 3 1 1 2 2 2 1R96922054 </p></li><li><p>Q3533, 422, 1234, ?</p><p>A: 555Just the numbered musical notation of the song :DR96922054 </p></li><li><p>Inspiration?Dont think everything as usual ways, especially when we are in the age that creativity is the dominating ability!R96922054 </p></li><li><p>ReferenceMore about Q2: Look-and-say sequence http://en.wikipedia.org/wiki/Look-and-say_sequenceA interesting site: On-Line Encyclopedia of Integer Sequences: http://www.research.att.com/~njas/sequences/Seis.html</p><p>R96922054 </p></li><li><p>The Longest Palindrome Sentence in Japanese R96945005 </p></li><li><p>The Longest Palindrome Sentence in JapaneseR96945005 </p></li><li><p>http://www.geocities.co.jp/Playtown-Spade/9052/longkaibun.htm ()133920031197 ()R96945005 </p></li><li><p>Anagrams R96945033</p></li><li><p>Anagramsanagramhttp://blog.chinatimes.com/cdl/archive/2007/07/04/178566.html#FeedBackhttp://www.anagramsite.com/R96945033</p></li><li><p>1,2,1,3,1,2,4,2,1,3,5,3,1,2,4,6,4,2,1,3,5.This is the sequence generated from the number of disk moved in order in a modified version of Tower of Hanoi.This modified version came from a typo of D. Knuth.Do people know the Tower of Hanois problem? You have 3 pegs, and you have disks of different sizes. Youre supposed to transfer the disk from one peg to another, and the disks have to be sorted so that the biggest is always at the bottom. You can move only disk at a time. R97922046</p></li><li><p>1,2,1,3,1,2,4,2,1,3,5,3,1,2,4,6,4,2,1,3,5.This sequence was studied by me in This sequence is related with The detailed report: http://0rz.tw/054OE </p><p>R97922046</p></li><li><p>1,2,1,3,1,2,4,2,1,3,5,3,1,2,4,6,4,2,1,3,5.G(m,n): mnG(1,n): 1,3,5,9,13,19G(2,n): 2,6,8,14,18G(m,1): 1,2,4,7,11G(m,2): 3,6,10,15,21R97922046</p></li><li><p>F(n): 1,1,2,3,5,8,13,21F(8)1,3,5,9,13,19 G(1,n)F(7)2,6,8,14,18 G(2,n)F(2)1,2,4,7,11G(m,1)F(3)3,6,10,15,21G(m,2)R97922046</p></li><li><p>Ducks in a rowR97922071 Source: InternetIt's really interesting to see ducks walking in a row!</p><p>And the most interesting part is that the phrase ducks in a row also means to organize things well, and that is what I need to do now!</p></li><li><p>Ducks not in a row</p></li><li><p>A short but heavy sequencesequenceALPS</p><p>26</p><p>(sequence =&gt; )sequencesequence</p><p> r97922079 P.S. r97079 (account)LKK SPP ACB</p></li><li><p>1 2 4 71 142 1 2 4 5 10 11 20 22 44 55 1101 2 31 2 4 7 141 2 4 8 16 31 62 124 248</p><p>R97922083 </p></li><li><p>2202842841 2 4 71 1421 + 4 +71 + 142 = 2202201 2 4 5 10 11 20 22 44 55 1101 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 284</p><p>R97922083 </p></li><li><p>6 1 2 3 6 = 1 + 2 + 3 = 20 + 21 + 2228 1 2 4 7 1428 = 1 + 2 + 4 + 7 + 14 = 1 + 2 + 3 + 4 + 5 + 6 + 7 = 22 + 23 + 24 = 13 + 33496 1 2 4 8 16 31 62 124 248496 = 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248 = 1 + 2 + 3 + 4 + + 29 + 30 + 31 = 24 + 25 + 26 + 27 + 28 = 13 + 33 + 53 + 738128 = 26 + 27 + 28 + 29 + 210 + 211 + 212 = 13 + 33 + 53 + 73 + 93 + 113 + 133 +15362849681283355033685898690561374386913282305843008139952128 R97922083 </p></li><li><p> : R97922104 </p></li><li><p>Which comes next?0, 1, 10, 11, 95, 96, 100, 101, 105, 106, 110, 111, 115, 116, 120, 121, 125, 126, 130, 131, 135, 136, 140, 141, 895, 896, 950, 951, 955, 956, 960, 961, 965, 966, 970, 971, 975, 976, 980, 981, 985, 986, 990, 991, 995, 996, 1000, 1001, 1005, 1006, 1010, 1011Why its interesting: Both n and n2 have the same initial digit and also n and n2 have the same final digit when expressed in base 10R97945003 AUTHOR: Jeremy Gardiner (jeremy.gardiner(AT)btinternet.com), Jul 20 2003 SOURCE: http://www.research.att.com/~njas/sequences/A086457 #Of course, its a collection!!</p></li><li><p> r96945028 </p><p>**</p></li></ul>