A346828 - OEIS

A346828

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

4140, 21147, 66491, 168938, 373832, 752681, 1413937, 2516880, 4288933, 7051043, 11247965, 17485725, 26581264, 39621636, 58039748, 83708561, 119053483, 167190888, 232099972, 318825211, 433724509, 584768196, 781893879, 1037430804, 1366607287, 1788149627

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OFFSET

0,1

COMMENTS

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

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

CROSSREFS

Column k=8 of A346520.

Cf. A346861.

Sequence in context: A162003 A346901 A346885 * A346861 A251650 A270772

Adjacent sequences: A346825 A346826 A346827 * A346829 A346830 A346831

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 05 2021

STATUS

approved