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A339175
Number of compositions (ordered partitions) of n into distinct parts such that the average of the parts is an integer.
1
1, 1, 1, 3, 1, 11, 1, 7, 19, 9, 1, 101, 1, 13, 193, 231, 1, 131, 1, 1411, 163, 21, 1, 3533, 3601, 25, 289, 7083, 1, 29195, 1, 3295, 451, 33, 98641, 84725, 1, 37, 649, 254007, 1, 768323, 1, 9907, 444643, 45, 1, 3420605, 2197441, 133849, 1153, 17331, 1, 12132635, 209641
OFFSET
1,4
EXAMPLE
a(8) = 7 because we have [8], [7, 1], [1, 7], [6, 2], [2, 6], [5, 3] and [3, 5].
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Dec 05 2020
STATUS
approved