id:A023893 - OEIS Search Results

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Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n.

+0
10

1, 1, 2, 3, 5, 7, 10, 14, 20, 27, 36, 48, 63, 82, 105, 134, 171, 215, 269, 335, 415, 511, 626, 764, 929, 1125, 1356, 1631, 1953, 2333, 2776, 3296, 3903, 4608, 5427, 6377, 7476, 8744, 10205, 11886, 13818, 16032, 18565, 21463, 24768, 28536 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: Prod(p prime, Prod(k >= 1, 1/(1-x^(p^k)))) / (1-x)`
	CROSSREFS	`Cf. A009490, A023894.` `Cf. A018819, A062051, A131995.` `Sequence in context: A054405 A116634 A035960 this_sequence A065094 A094023 A123630` `Adjacent sequences: A023890 A023891 A023892 this_sequence A023894 A023895 A023896`
	KEYWORD	`nonn`
	AUTHOR	`Olivier Gerard (ogerard(AT)ext.jussieu.fr)`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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