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A000585 Number of equivalence classes of Boolean functions of n variables under GL(n,2).
(Formerly M3337 N1343)
5

%I M3337 N1343 #21 Nov 07 2020 10:05:56

%S 4,8,20,92,2744,950998216,2076795963681989019155896,

%T 21651217007530946175606768762255421159692845640522169779616

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

%D V. Jovovic, The cycle indices polynomials of some classical groups, Belgrade, 1995, unpublished.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 H. Fripertinger, <a href="https://doi.org/10.1016/S0024-3795(96)00530-7">Cycle indices of linear, affine and projective groups</a>, Linear Algebra and Its Applications, 263, 133-156, 1997.

%H H. Fripertinger, <a href="https://web.archive.org/web/20050105072927/http://www-ang.kfunigraz.ac.at/~fripert/fga/k1zyklap.html">Implementation of cycle index of linear group</a>

%H M. A. Harrison, <a href="https://doi.org/10.1145/321312.321325">On asymptotic estimates in switching and automata theory</a>, J. ACM, v. 13, no. 1, Jan. 1966, pp. 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>

%K nonn,easy,nice

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Vladeta Jovovic_

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Last modified April 16 04:17 EDT 2024. Contains 371696 sequences. (Running on oeis4.)