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A346827 Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,7} with n 0's into distinct multisets. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 29 06:32 EST 2021. Contains 349416 sequences. (Running on oeis4.)