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A000214 Number of equivalence classes of Boolean functions of n variables under action of AG(n,2).
(Formerly M2470 N0980)
6

%I M2470 N0980

%S 3,5,10,32,382,15768919,16224999167506438730294,

%T 84575066435667906978109556031081616704183639810103015118

%N Number of equivalence classes of Boolean functions of n variables under action of AG(n,2).

%C AG denotes affine group.

%D V. Jovovic, The cycle indices polynomials of some classical groups, Belgrade, 1995, unpublished.

%D R. J. Lechner, Harmonic Analysis of Switching Functions, in A. Mukhopadhyay, ed., Recent Developments in Switching Theory, Ac Press, 1971, pp. 121-254, esp. p. 186.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Kenny Lau, <a href="/A000214/b000214.txt">Table of n, a(n) for n = 1..10</a> (one digit in a(9) corrected by _Georg Fischer_, Apr 13 2019)

%H H. Fripertinger, <a href="http://www-ang.kfunigraz.ac.at/~fripert/linaffproj.html">Cycle indices of linear, affine and projective groups</a>, Linear Algebra and Its Applications, 263, 133-156, 1997.

%H H. Fripertinger, <a href="http://www-ang.kfunigraz.ac.at/~fripert/fga/k1zyklap.html">Implementation of cycle index of linear group</a>

%H M. A. Harrison, <a href="http://hdl.handle.net/2027.42/5405">On the classification of Boolean functions by the general linear and affine groups</a>, Technical Note, (1962).

%H M. A. Harrison, <a href="https://www.jstor.org/stable/2946369">On the classification of Boolean functions by the general linear and affine groups</a>, J. Soc. Industrial and Applied Mathematics, 12.2 (1964), 285-299. [This journal later became the SIAM Journal]

%H M. A. Harrison, <a href="https://doi.org/10.1145/321312.321325">On asymptotic estimates in switching and automata theory</a>, J. Assoc. Comput. Mach. 13 1966, 151-157.

%H Vladeta Jovovic, <a href="/A062766/a062766.pdf">Cycle indices</a>

%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>

%Y Cf. A000585.

%K nonn,nice,easy

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Vladeta Jovovic_

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Last modified March 4 23:37 EST 2021. Contains 341812 sequences. (Running on oeis4.)