A346900 Number of partitions of the (n+7)-multiset {1,2,...,n,1,2,...,7} into distinct multisets.

877, 2407, 7023, 21709, 70843, 243235, 875936, 3299218, 23308546, 172449180, 1332875540, 10737968536, 89983139114, 782862305856, 7059006496410, 65863933456646, 634989019444140, 6317110311404960, 64769247847559306, 683631842962754366, 7420272485570265946

Offset

0,1

Comments

Also number of factorizations of Product_{i=1..n} prime(i) * Product_{i=1..7} prime(i) into distinct factors.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..570

Crossrefs

Column (or row) k=7 of A346517.

Cf. A346884.

Sequence in context: A185989 A190930 A209743 * A346884 A211566 A346827

Adjacent sequences: A346897 A346898 A346899 * A346901 A346902 A346903

Keyword

nonn

Author

Alois P. Heinz, Aug 06 2021

Status

approved