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A215605 Number of unordered interval sequences that sum up to 12n in Schoenberg 12-tone rows. 0
1, 36, 798, 4507, 11470, 15407, 11470, 4507, 798, 36, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A Schoenberg 12-tone row is a permutation of the integers from 0 to 11. It is assumed the first element is 0 so there are 11! 12-tone rows. The unordered interval sequence is the 1st-order difference modulo 12 arranged into a sorted list.

REFERENCES

Ole Kirkeby, Interval Sequences In 12-Tone Rows, to be submitted to Online Journal of Integer Sequences.

LINKS

Table of n, a(n) for n=1..11.

EXAMPLE

There is only one unordered interval sequence whose sum is 12, and it contains all ones. One of the 36 that sums up to 2*12=24 is [1,1,1,1,1,1,1,1,1,2,2,11], and one of the 798 that sums up to 3*12=36 is [1,1,1,1,1,1,1,1,3,3,11,11].

CROSSREFS

Sequence in context: A014772 A110206 A133051 * A173187 A028222 A028216

Adjacent sequences:  A215602 A215603 A215604 * A215606 A215607 A215608

KEYWORD

nonn,fini,full

AUTHOR

Ole Kirkeby, Aug 17 2012

STATUS

approved

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Last modified January 23 01:30 EST 2020. Contains 331166 sequences. (Running on oeis4.)