A346816 Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,n} with six 0's into distinct multisets.

4, 14, 56, 249, 1213, 6404, 36332, 220000, 1413937, 9600364, 68592684, 513952699, 4026607292, 32900195138, 279706376058, 2469224186643, 22592983270903, 213904411529522, 2092395705495048, 21117781135309376, 219627058223237983, 2351003452644642314

Offset

0,1

Comments

Also number of factorizations of 2^6 * Product_{i=1..n} prime(i+1) into distinct factors.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..571

Crossrefs

Row n=6 of A346520.

Cf. A346852.

Sequence in context: A073155 A365114 A370720 * A375454 A006212 A126701

Adjacent sequences: A346813 A346814 A346815 * A346817 A346818 A346819

Keyword

nonn

Author

Alois P. Heinz, Aug 05 2021

Status

approved