A346898 Number of partitions of the (n+5)-multiset {1,2,...,n,1,2,...,5} into distinct multisets.

52, 120, 299, 801, 2295, 6995, 40043, 243235, 1562071, 10569612, 75114998, 559057663, 4346341361, 35213909313, 296696424975, 2594712611306, 23512150424424, 220412149622759, 2134476336680003, 21324751529837231, 219524646452224135, 2325946109640859828

Offset

0,1

Comments

Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..5} prime(i) into distinct factors.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..572

Crossrefs

Column (or row) k=5 of A346517.

Cf. A346882.

Sequence in context: A209988 A326912 A327147 * A120534 A122166 A205221

Adjacent sequences: A346895 A346896 A346897 * A346899 A346900 A346901

Keyword

nonn

Author

Alois P. Heinz, Aug 06 2021

Status

approved