A346827 Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,7} with n 0's into distinct multisets.

877, 4140, 12205, 29505, 62505, 121141, 220000, 379831, 629346, 1008217, 1570176, 2386768, 3552623, 5191184, 7462348, 10571795, 14781494, 20422834, 27913093, 37773674, 50653017, 67353802, 88864364, 116396162, 151428441, 195759851, 251569301, 321487585

Offset

0,1

Comments

Also number of factorizations of 2^n * Product_{i=1..7} prime(i+1) into distinct factors.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Crossrefs

Column k=7 of A346520.

Cf. A346860.

Sequence in context: A346900 A346884 A211566 * A346860 A320558 A270771

Adjacent sequences: A346824 A346825 A346826 * A346828 A346829 A346830

Keyword

nonn

Author

Alois P. Heinz, Aug 05 2021

Status

approved