A049461 -id:A049461 - cp's OEIS frontend

A028405 Number of equivalence classes of Boolean functions of n variables under action of M(n,2).

Original entry on oeis.org

3, 6, 16, 76, 2529, 935339497, 2060570964519821009024090, 21566641941095278268628659206747626784474429009806143425562

Offset: 1

N. J. A. Sloane

Group M(n,2) is semi-direct product of LSD(n,2) (cf. A028407) and complementing group C(n,2).

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

V. Jovovic, Cycle indices
I. Strazdins, Universal affine classification of Boolean functions, Acta Applic. Math. 46 (1997), 147-167.
Index entries for sequences related to Boolean functions

Cf. A000214, A049461.

More terms from Vladeta Jovovic

A053037 Number of self-complementary types of Boolean functions of n variables under action of AG(n,2).

Original entry on oeis.org

1, 1, 2, 4, 30, 7679, 271272025838, 15720888748969530981971252414, 14069509983003731045582973059193483755803287927789561328867085226, 1263863542103738914337052461143370675118811161046459223145205641421535664947642082708619717652803582292264797662579828105738049380777191460

Offset: 1

Vladeta Jovovic, Feb 24 2000

Heuristically a(n) = A000214(n)-A049461(n+1). - R. J. Mathar, Apr 23 2007

V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.

M. A. Harrison, On the classification of Boolean functions by the general linear and affine groups, J. Soc. Indust. Appl. Math. 12 (1964) 285-299.
I. Strazdins, Universal affine classification of Boolean functions, Acta Applic. Math. 46 (1997), 147-167.
Index entries for sequences related to Boolean functions

Cf. A000214, A000614.

cp's OEIS Frontend

A028405 Number of equivalence classes of Boolean functions of n variables under action of M(n,2).

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