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A325510 Number of non-isomorphic multiset partitions of the multiset of prime indices of n!. 2
1, 1, 1, 2, 7, 16, 98, 269, 1397 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..8.

FORMULA

a(n) = A317791(n!).

EXAMPLE

Non-isomorphic representatives of the a(2) = 1 through a(5) = 16 multiset partitions:

  {{1}}  {{12}}    {{1222}}        {{12333}}

         {{1}{2}}  {{1}{222}}      {{1}{2333}}

                   {{12}{22}}      {{12}{333}}

                   {{2}{122}}      {{13}{233}}

                   {{1}{2}{22}}    {{3}{1233}}

                   {{2}{2}{12}}    {{33}{123}}

                   {{1}{2}{2}{2}}  {{1}{2}{333}}

                                   {{1}{23}{33}}

                                   {{1}{3}{233}}

                                   {{3}{12}{33}}

                                   {{3}{13}{23}}

                                   {{3}{3}{123}}

                                   {{1}{1}{1}{23}}

                                   {{1}{2}{3}{33}}

                                   {{1}{3}{3}{23}}

                                   {{1}{2}{3}{3}{3}}

CROSSREFS

Cf. A000142, A001055, A007716, A011371, A022559, A076716, A115627, A317791, A322583, A325272, A325276, A325509, A325511.

Sequence in context: A073998 A129444 A079815 * A006883 A023269 A023300

Adjacent sequences:  A325507 A325508 A325509 * A325511 A325512 A325513

KEYWORD

nonn,more

AUTHOR

Gus Wiseman, May 08 2019

STATUS

approved

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Last modified September 18 18:28 EDT 2019. Contains 327180 sequences. (Running on oeis4.)