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%I #7 Dec 11 2013 22:59:14
%S 1,36,798,4507,11470,15407,11470,4507,798,36,1
%N Number of unordered interval sequences that sum up to 12n in Schoenberg 12-tone rows.
%C 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.
%D Ole Kirkeby, Interval Sequences In 12-Tone Rows, to be submitted to Online Journal of Integer Sequences.
%e 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].
%K nonn,fini,full
%O 1,2
%A _Ole Kirkeby_, Aug 17 2012
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