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

1,4

Links

Table of n, a(n) for n=1..55.

Eric W. Weisstein's World of Mathematics, Arithmetic Mean

Index entries for sequences related to compositions

Example

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

Crossrefs

Cf. A032020, A067538, A102627, A339452.

Sequence in context: A201131 A277790 A360121 * A134761 A166752 A205483

Adjacent sequences: A339172 A339173 A339174 * A339176 A339177 A339178

Keyword

nonn

Author

Ilya Gutkovskiy, Dec 05 2020

Status

approved