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A289445
a(n) = number of similarity classes of groups G with exactly n subgroups and such that G = G-tilde, where G-tilde is the unique subgroup of G left after factoring out the cyclic, central Sylow subgroups.
2
1, 0, 0, 0, 1, 3, 0, 4, 0, 8, 3, 4
OFFSET
1,6
LINKS
M. C. Slattery, On a property motivated by groups with a specified number of subgroups, Amer. Math. Monthly, 123 (2016), 78-81.
M. C. Slattery, Groups with at most twelve subgroups, arXiv:1607.01834 [math.GR], (2016).
CROSSREFS
Cf. A274847.
Sequence in context: A027636 A371737 A173425 * A237558 A060034 A308216
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Jul 08 2017
STATUS
approved