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Search: id:A099030
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| A099030 |
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Number of tone-rows in n-tone music. |
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+0
2
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| 1, 3, 8, 38, 192, 1320, 10176, 91296, 908160, 9985920, 119761920, 1556847360, 21794734080, 326920043520, 5230700052480, 88921882828800, 1600593472880640, 30411275613143040, 608225502973132800, 12772735554075033600
(list; graph; listen)
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OFFSET
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3,2
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LINKS
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Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 08 2006, Table of n, a(n) for n = 3..38
H. Fripertinger, Enumeration in musical theory
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FORMULA
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(1/4) [(n-1)!+(n-1)!! ] if n odd, (1/4) [(n-1)!+(n/2+1)(n-2)!! ] if even.
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PROGRAM
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(PARI) doubfact(n)=if(n<2, 1, n*doubfact(n-2)); for(n=3, 50, if(n%2==1, print1(((n-1)!+doubfact(n-1))/4, ", "), print1(((n-1)!+(n/2+1)*doubfact(n-2))/4, ", "))) - Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 02 2006
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CROSSREFS
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Apart from initial terms, same as A089066. - Raymond L. Jerome (raymondjerome(AT)hotmail.com), Feb 25 2005
Adjacent sequences: A099027 A099028 A099029 this_sequence A099031 A099032 A099033
Sequence in context: A123981 A123985 A089066 this_sequence A106558 A065914 A108262
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KEYWORD
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nonn,easy
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AUTHOR
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Ralf Stephan, Sep 27 2004
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EXTENSIONS
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More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 02 2006
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