The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A333129

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A333129

Product of all distinct least part primes from all partitions of n into prime parts.
(history; published version)

#25 by Michel Marcus at Thu Sep 12 14:45:02 EDT 2024

STATUS

reviewed

approved

#24 by Andrew Howroyd at Thu Sep 12 14:01:17 EDT 2024

STATUS

proposed

reviewed

#23 by Robert C. Lyons at Thu Sep 12 13:56:29 EDT 2024

STATUS

editing

proposed

#22 by Robert C. Lyons at Thu Sep 12 13:56:24 EDT 2024

COMMENTS

For all n, omega(a(n)) = Omega(a(n)). The prime factorisation factorization of each term gives the least part primes of all partitions of n into prime parts.

STATUS

approved

editing

#21 by Joerg Arndt at Sun Nov 01 06:07:46 EST 2020

STATUS

reviewed

approved

#20 by Michel Marcus at Sun Nov 01 04:48:45 EST 2020

STATUS

proposed

reviewed

#19 by Jean-François Alcover at Sun Nov 01 02:16:37 EST 2020

STATUS

editing

proposed

#18 by Jean-François Alcover at Sun Nov 01 02:16:33 EST 2020

MATHEMATICA

a[0] = 1; a[n_] := Times @@ Union[Min /@ IntegerPartitions[n, All, Prime[ Range[PrimePi[n]]]]];

a /@ Range[0, 55] (* Jean-François Alcover, Nov 01 2020 *)

STATUS

approved

editing

#17 by Alois P. Heinz at Mon Mar 16 09:44:00 EDT 2020

STATUS

editing

approved

#16 by Alois P. Heinz at Mon Mar 16 09:43:46 EDT 2020

COMMENTS

Product of all terms in row n of A333238. - Alois P. Heinz, Mar 16 2020

CROSSREFS

Cf. A000040, A000607, A001221, A001222, A005117, A333238.

STATUS

approved

editing