A339175 Number of compositions (ordered partitions) of n into distinct parts such that the average of the parts is an integer.

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

Author

Ilya Gutkovskiy, Dec 05 2020

Keywords

• nonn

Examples

			a(8) = 7 because we have [8], [7, 1], [1, 7], [6, 2], [2, 6], [5, 3] and [3, 5].
		

Links

• Eric W. Weisstein's World of Mathematics, Arithmetic Mean
• Index entries for sequences related to compositions

Crossrefs

Cf. A032020, A067538, A102627, A339452.