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A346788 Product over all partitions lambda of n of the product of distinct parts in lambda. 1
1, 1, 2, 6, 48, 1440, 414720, 2090188800, 1155790798848000, 226483217146419609600000, 302971317675145105975227187200000000, 37917003542135076706761224377027811868672000000000000, 45800346382799680410294841758069930049013501333211737122406400000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = A230053(n) for n <= 6.
MAPLE
a:= n-> mul(i, i=map(x-> {x[]}[], combinat[partition](n))):
seq(a(n), n=0..12);
MATHEMATICA
a[n_] := Times @@ Times @@@ Union /@ IntegerPartitions[n];
a /@ Range[0, 20] (* Jean-François Alcover, Aug 09 2021 *)
PROG
(PARI) a(n) = vecprod(apply(x->vecprod(Set(x)), partitions(n))); \\ Michel Marcus, Aug 04 2021
CROSSREFS
Sequence in context: A063744 A141609 A096313 * A230053 A245283 A126023
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 03 2021
STATUS
approved

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Last modified June 24 00:02 EDT 2024. Contains 373661 sequences. (Running on oeis4.)