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A000231 Number of inequivalent Boolean functions of n variables under action of complementing group.
(Formerly M2702 N1083)
6
3, 7, 46, 4336, 134281216, 288230380379570176, 2658455991569831764110243006194384896, 452312848583266388373324160190187140390789016525312000869601987902398529536 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The next term has 152 digits. - Harvey P. Dale, Jun 21 2011

REFERENCES

R. L. Ashenhurst, The application of counting techniques, Proc. ACM Nat. Mtg., Pittsburg, 1952, 293-305.

M. A. Harrison, The number of transitivity sets of Boolean functions, J. Soc. Indust. Appl. Math., 11 (1963), 806-828.

M. A. Harrison, Introduction to Switching and Automata Theory. McGraw Hill, NY, 1965, p. 143.

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, correctly, although in the Preface on page viii 4336 is mis-typed as 4436).

LINKS

Table of n, a(n) for n=1..8.

Index entries for sequences related to Boolean functions

FORMULA

a(n)=(2^(2^n)+(2^n-1)*2^(2^(n-1)))/2^n.

MATHEMATICA

Table[(2^(2^n)+(2^n-1)*2^(2^(n-1)))/2^n, {n, 10}] (* Harvey P. Dale, Jun 21 2011 *)

PROG

(PARI) a(n)=(2^(2^n-n)+(2^n-1)*2^(2^(n-1)-n)) \\ Charles R Greathouse IV, Jul 29 2016

CROSSREFS

Cf. A051502.

Sequence in context: A041016 A184339 A003758 * A231893 A132565 A129518

Adjacent sequences:  A000228 A000229 A000230 * A000232 A000233 A000234

KEYWORD

easy,nonn,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Vladeta Jovovic, Apr 20 2000

STATUS

approved

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Last modified August 18 23:43 EDT 2017. Contains 290782 sequences.