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A035495
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Number of musical scales consisting of n notes.
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0
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1, 1, 6, 19, 43, 66, 80, 66, 43, 19, 6, 1, 1
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graph;
refs;
listen;
history;
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internal format)
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..12.
H. Fripertinger, Enumeration in musical theory, Séminaire Lotharingien de Combinatoire, B26a (1991), 14 pp.
R. C. Read, Combinatorial problems in theory of music, Discrete Math. 167 (1997), 543-551.
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FORMULA
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Coefficient of x^n in cycle index Z(C_12; 1+x).
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MATHEMATICA
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CycleIndexPolynomial[CyclicGroup[12], Table[1 + x^k, {k, 1, 12}]] // CoefficientList[#, x]& (* Jean-François Alcover, Nov 04 2016 *)
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CROSSREFS
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Sequence in context: A173980 A299281 A212684 * A061293 A005900 A138357
Adjacent sequences: A035492 A035493 A035494 * A035496 A035497 A035498
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KEYWORD
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nonn,fini,full,nice
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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