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 A063407 Number of cyclic subgroups of order 4 of general affine group AGL(n,2). 0
 0, 3, 210, 21840, 4248240, 2439718848, 4490186803200, 21306683553761280, 243362078944548372480, 8447714338361362064867328, 916006668995029638614026813440, 257020596641378222874290942398955520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 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 Table of n, a(n) for n=1..12. V. Jovovic, Cycle index of general affine group AGL(n,2) FORMULA a(n) = (A063387(n)-A063385(n))/2. CROSSREFS Cf. A063406-A063413, A063385-A063393, A062710. Sequence in context: A157390 A251864 A349073 * A303214 A258110 A072196 Adjacent sequences: A063404 A063405 A063406 * A063408 A063409 A063410 KEYWORD nonn AUTHOR Vladeta Jovovic, Jul 17 2001 STATUS approved

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Last modified June 24 10:07 EDT 2024. Contains 373674 sequences. (Running on oeis4.)