A346817 Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,n} with seven 0's into distinct multisets.

5, 19, 80, 372, 1887, 10340, 60727, 379831, 2516880, 17590607, 129185101, 993686245, 7982964121, 66815548603, 581342199992, 5247733142922, 49060074341483, 474248427057490, 4733396660516715, 48713824251499499, 516315132698019888, 5629552607340558361

Offset

0,1

Comments

Also number of factorizations of 2^7 * 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=7 of A346520.

Cf. A346853.

Sequence in context: A111929 A146030 A098041 * A317131 A149780 A149781

Adjacent sequences: A346814 A346815 A346816 * A346818 A346819 A346820

Keyword

nonn

Author

Alois P. Heinz, Aug 05 2021

Status

approved