|
Search: id:A034891
|
|
|
| A034891 |
|
Number of different products of partitions of n; partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n. |
|
+0
9
|
|
| 1, 2, 3, 4, 6, 8, 11, 14, 18, 23, 29, 36, 45, 55, 67, 81, 98, 117, 140, 166, 196, 231, 271, 317, 369, 429, 496, 573, 660, 758, 869, 993, 1133, 1290, 1465, 1662, 1881, 2125, 2397, 2699, 3035, 3407, 3820, 4276, 4780, 5337, 5951, 6628, 7372, 8191, 9090
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..1000
|
|
FORMULA
|
G.f.: (1/(1-x))*(1/Product_{k>0} (1-x^prime(k))). a(n) = (1/n)*Sum_{k=1..n} A074372(k)*a(n-k). Partial sums of A000607. - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 19 2002
|
|
MATHEMATICA
|
Table[ Length[ Union[ Apply[ Times, Partitions[ n ], 1 ] ] ], {n, 30} ]
|
|
CROSSREFS
|
Cf. A000792, A000793, A009490.
Sequence in context: A134953 A114829 A007279 this_sequence A143611 A062464 A053270
Adjacent sequences: A034888 A034889 A034890 this_sequence A034892 A034893 A034894
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
Wouter Meeussen (wouter.meeussen(AT)pandora.be)
|
|
EXTENSIONS
|
More terms from Vladeta Jovovic (vladeta(AT)eunet.rs)
|
|
|
Search completed in 0.002 seconds
|
