%I M0815 N0307 #36 Jun 17 2022 16:14:39
%S 2,3,6,18,206,7888299,8112499583888855378066,
%T 42287533217833953489054778023401252726576585396037133766
%N Number of complemented types of Boolean functions of n variables under action of AG(n,2).
%C From Philippe Langevin's article: Let m be a positive integer. The space of Boolean functions from GF(2)^m into GF(2) is denoted by RM(k,m). This notation comes from coding theory, where it is the Reed-Muller code of order k in m variables. The affine group AG(2, m) acts on the spaces RM(k,m), and thus on RM(k,m)/RM(s,m) when s <= k. - _Jonathan Vos Post_, Feb 08 2011
%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 M. A. Harrison, <a href="https://doi.org/10.1109/PGEC.1963.263656">The number of equivalence classes of Boolean functions under groups containing negation</a>, IEEE Trans. Electron. Comput. 12 (1963), 559-561.
%H M. A. Harrison, <a href="/A000370/a000370.pdf">The number of equivalence classes of Boolean functions under groups containing negation</a>, IEEE Trans. Electron. Comput. 12 (1963), 559-561. [Annotated scanned copy]
%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. Indust. Appl. Math. 12 (1964) 285-299.
%H Philippe Langevin, <a href="http://langevin.univ-tln.fr/project/agl/agl.html">Classification of Boolean functions under the affine group</a>, Oct 31, 2009.
%H <a href="/index/Bo#Boolean">Index entries for sequences related to Boolean functions</a>
%Y Cf. A000214.
%K nonn,easy,nice
%O 1,1
%A _N. J. A. Sloane_
%E More terms and better description from _Vladeta Jovovic_, Feb 24 2000