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 A185176 a(n) = maximal number of different Galois groups with that same order for polynomials of degree n. 0
 1, 1, 2, 1, 3, 1, 8, 4, 5, 1, 30, 1, 5, 5, 260, 1, 43, 1, 57, 7, 4, 1, 1930, 8, 10, 99, 93, 1, 223, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,3 COMMENTS For prime p, a(p)=1. For not prime n, the most frequently orders are:   4=4,   6=24,   8=32,   9=54,   10=200,   12=192,   14=2688,   15=360,   16=256,   18=1296,   20={5120,40000},   21=30618,   22=2420,   24=1536,   25={500,2500,12500},   26=4056,   27=4374,   28=114688,   30=24000000 LINKS EXAMPLE a(4)=2 because for polynomials of degree 4, there two different groups of order 4. a(20)=57 because for polynomials of degree 20, there 57 different groups of order 5120 and 57 different groups of order 40000. CROSSREFS Cf. A002106, A177244, A186277, A186306, A186307, A186308. Sequence in context: A140966 A058036 A136179 * A198315 A126761 A090559 Adjacent sequences:  A185173 A185174 A185175 * A185177 A185178 A185179 KEYWORD nonn,hard AUTHOR Artur Jasinski, Feb 19 2011 STATUS approved

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Last modified April 5 19:11 EDT 2020. Contains 333257 sequences. (Running on oeis4.)