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 A063413 Number of cyclic subgroups of order 10 of general affine group AGL(n,2). 8
 0, 0, 0, 0, 2666496, 8063483904, 23667221200896, 1546057323758223360, 374969260180817571741696, 163457085861840749434433961984, 112603564970401075916528447354044416 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Number of cyclic subgroups of order m in general affine group AGL(n,2) is 1/phi(m)*Sum_{d|m} mu(m/d)*b(n,d), where b(n,d) is number of solutions to x^d=1 in AGL(n,2). LINKS V. Jovovic, Cycle index of general affine group AGL(n,2) FORMULA a(n) = (A063393(n)-A063388(n)-A063385(2)+1)/4. CROSSREFS Cf. A063406-A063413, A063385-A063393, A062710. Sequence in context: A105380 A250911 A157840 * A210388 A251044 A151513 Adjacent sequences:  A063410 A063411 A063412 * A063414 A063415 A063416 KEYWORD nonn AUTHOR Vladeta Jovovic, Jul 17 2001 STATUS approved

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Last modified December 1 06:09 EST 2020. Contains 338833 sequences. (Running on oeis4.)