Search: id:A099030
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%I A099030
%S A099030 1,3,8,38,192,1320,10176,91296,908160,9985920,119761920,1556847360,
%T A099030 21794734080,326920043520,5230700052480,88921882828800,1600593472880640,
%U A099030 30411275613143040,608225502973132800,12772735554075033600
%N A099030 Number of tone-rows in n-tone music.
%H A099030 Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 08 2006, <a href="b099030.txt">
               Table of n, a(n) for n = 3..38</a>
%H A099030 H. Fripertinger, <a href="http://www.mat.univie.ac.at/~slc/opapers/s26fripert.html">
               Enumeration in musical theory</a>
%F A099030 (1/4) [(n-1)!+(n-1)!! ] if n odd, (1/4) [(n-1)!+(n/2+1)(n-2)!! ] if even.
%o A099030 (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
%Y A099030 Apart from initial terms, same as A089066. - Raymond L. Jerome (raymondjerome(AT)hotmail.com), 
               Feb 25 2005
%Y A099030 Sequence in context: A123981 A123985 A089066 this_sequence A106558 A065914 
               A108262
%Y A099030 Adjacent sequences: A099027 A099028 A099029 this_sequence A099031 A099032 
               A099033
%K A099030 nonn,easy
%O A099030 3,2
%A A099030 Ralf Stephan, Sep 27 2004
%E A099030 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 02 2006

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