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An examination of the relevant ordered gaussian polynomials reveals the following distribution (beginning with partitions of length three):
1 10 15 1
6 52 180 216 28
12 114 530 1386 1547 266
18 168 880 3086 7007 7616 1554
therefore (by summing each row) A109821 begins
27
482
3855
20329
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