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A346817 Number of partitions of the (n+7)-multiset {0,...,0,1,2,...,n} with seven 0's into distinct multisets. 3
5, 19, 80, 372, 1887, 10340, 60727, 379831, 2516880, 17590607, 129185101, 993686245, 7982964121, 66815548603, 581342199992, 5247733142922, 49060074341483, 474248427057490, 4733396660516715, 48713824251499499, 516315132698019888, 5629552607340558361 (list; graph; refs; listen; history; text; internal format)
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

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Last modified October 19 07:42 EDT 2021. Contains 348074 sequences. (Running on oeis4.)