A258286 - OEIS

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A258286

Number of partitions of 8 copies of n into distinct parts.

1

1, 1, 9, 13, 66, 111, 475, 852, 3128, 5668, 19011, 34804, 108328, 195267, 567674, 1059291, 2849122, 5212695, 13785287, 25156313, 62613272, 115799409, 277245609, 508970856, 1196118973, 2161689541

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OFFSET

15,3

LINKS

Table of n, a(n) for n=15..40.

FORMULA

a(n) = 1/8! * [Product_{i=1..8} x_i^n] Product_{j>0} (1+Sum_{i=1..8} x_i^j).

CROSSREFS

Column k=8 of A258280.

Sequence in context: A271052 A305650 A099580 * A387927 A166662 A108748

Adjacent sequences: A258283 A258284 A258285 * A258287 A258288 A258289

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 25 2015

STATUS

approved