A346818 Number of partitions of the (n+8)-multiset {0,...,0,1,2,...,n} with eight 0's into distinct multisets.

6, 25, 111, 539, 2840, 16108, 97666, 629346, 4288933, 30783302, 231866151, 1827144328, 15022671954, 128565441698, 1142833748894, 10531721116527, 100445595744363, 989932688616905, 10067279775369776, 105509453248128215, 1138230916526434434, 12625732251179554692

Offset

0,1

Comments

Also number of factorizations of 2^8 * Product_{i=1..n} prime(i+1) into distinct factors.

Links

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

Crossrefs

Row n=8 of A346520.

Cf. A346854.

Sequence in context: A346894 A094669 A100296 * A120758 A227914 A179603

Adjacent sequences: A346815 A346816 A346817 * A346819 A346820 A346821

Keyword

nonn

Author

Alois P. Heinz, Aug 05 2021

Status

approved