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A035495 Musical scales consisting of n notes. 0
1, 1, 6, 19, 43, 66, 80, 66, 43, 19, 6, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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.

FORMULA

Coefficient of x^n in cycle index Z(C_12; 1+x).

MATHEMATICA

CycleIndexPolynomial[CyclicGroup[12], Table[1 + x^k, {k, 1, 12}]] // CoefficientList[#, x]& (* Jean-François Alcover, Nov 04 2016 *)

CROSSREFS

Sequence in context: A173980 A299281 A212684 * A061293 A005900 A138357

Adjacent sequences:  A035492 A035493 A035494 * A035496 A035497 A035498

KEYWORD

nonn,fini,full,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 20 04:39 EST 2018. Contains 299358 sequences. (Running on oeis4.)