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A018216
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Maximal number of subgroups in a group with n elements.
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2
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1, 2, 2, 5, 2, 6, 2, 16, 6, 8, 2, 16, 2, 10, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| For n >= 2 a(n)>=2 with equality iff n is prime.
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FORMULA
| a(n)=Maximum of {A061034(n), A083573(n)}. - Lekraj Beedassy (blekraj(AT)yahoo.com), Oct 22 2004
(C_2)^m has A006116(m) subgroups, so this is a lower bound if n is a power of 2 (e.g. a(16) >= 67). - N. J. A. Sloane (njas(AT)research.att.com), Dec 01 2007
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EXAMPLE
| a(6) = 6 because there are two groups with 6 elements: C_6 with 4 subgroups and S_3 with 6 subgroups.
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CROSSREFS
| Cf. A061034.
Sequence in context: A093663 A011143 A185291 * A059907 A024931 A029648
Adjacent sequences: A018213 A018214 A018215 * A018217 A018218 A018219
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KEYWORD
| nonn,nice,more
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AUTHOR
| Ola Veshta (olaveshta(AT)my-deja.com), May 23 2001
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EXTENSIONS
| More terms from Victoria A. Sapko (vsapko(AT)canes.gsw.edu), Jun 13 2003
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