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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
3, 5, 10, 32, 382, 15768919, 16224999167506438730294, 84575066435667906978109556031081616704183639810103015118 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
AG denotes affine group.
REFERENCES
V. Jovovic, The cycle indices polynomials of some classical groups, Belgrade, 1995, unpublished.
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.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Kenny Lau, Table of n, a(n) for n = 1..10 (one digit in a(9) corrected by Georg Fischer, Apr 13 2019)
H. Fripertinger, Cycle indices of linear, affine and projective groups, Linear Algebra and Its Applications, 263, 133-156, 1997.
M. A. Harrison, On the classification of Boolean functions by the general linear and affine groups, J. Soc. Industrial and Applied Mathematics, 12.2 (1964), 285-299. [This journal later became the SIAM Journal]
M. A. Harrison, On asymptotic estimates in switching and automata theory, J. Assoc. Comput. Mach. 13 1966, 151-157.
Vladeta Jovovic, Cycle indices
CROSSREFS
Cf. A000585.
Sequence in context: A284349 A003186 A006826 * A185645 A060955 A358899
KEYWORD
nonn,nice,easy
AUTHOR
EXTENSIONS
More terms from Vladeta Jovovic
STATUS
approved

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Last modified April 23 05:20 EDT 2024. Contains 371906 sequences. (Running on oeis4.)