A343214 Number of compositions (ordered partitions) of 1/n into n reciprocals of positive integers.

1, 3, 106, 15259, 13879541, 95073863568

Offset

1,2

Links

Table of n, a(n) for n=1..6.

Example

a(2) = 3 because we have 1/2 = 1/4 + 1/4 = 1/3 + 1/6 = 1/6 + 1/3.

Crossrefs

Cf. A002967, A048691, A342267, A343074.

Sequence in context: A352656 A226074 A037115 * A234636 A213862 A245657

Adjacent sequences: A343211 A343212 A343213 * A343215 A343216 A343217

Keyword

nonn,hard,more

Author

Ilya Gutkovskiy, Apr 08 2021

Extensions

a(5)-a(6) from Max Alekseyev, Jan 24 2024

Status

approved