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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 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 September 24 14:16 EDT 2021. Contains 347643 sequences. (Running on oeis4.)