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A063406 Number of cyclic subgroups of order 3 of general affine group AGL(n,2). 8
0, 4, 112, 3136, 484096, 153545728, 72255188992, 169225143107584, 767806696376172544, 5846826552577416232960, 211692077904149369184059392, 14577670180222125357773973618688 (list; graph; refs; listen; history; 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

V. Jovovic, Cycle index of general affine group AGL(n,2)

FORMULA

a(n) = (A063386(n)-1)/2.

CROSSREFS

Cf. A063406-A063413, A063385-A063393, A062710.

Sequence in context: A181485 A135917 A158450 * A013151 A006718 A185320

Adjacent sequences:  A063403 A063404 A063405 * A063407 A063408 A063409

KEYWORD

nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 17 2001

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Last modified February 16 16:31 EST 2012. Contains 205938 sequences.