A346819 Number of partitions of the (n+9)-multiset {0,...,0,1,2,...,n} with nine 0's into distinct multisets.

8, 33, 152, 765, 4168, 24388, 152237, 1008217, 7051043, 51867573, 399944924, 3223137761, 27077165245, 236578489448, 2145390324808, 20155783166266, 195856002789973, 1965470860206940, 20342086564540774, 216860601575057306, 2378610709552090677

Offset

0,1

Comments

Also number of factorizations of 2^9 * Product_{i=1..n} prime(i+1) into distinct factors.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..569

Crossrefs

Row n=9 of A346520.

Cf. A346855.

Sequence in context: A048877 A349101 A297683 * A220590 A001407 A005398

Adjacent sequences: A346816 A346817 A346818 * A346820 A346821 A346822

Keyword

nonn

Author

Alois P. Heinz, Aug 05 2021

Status

approved