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A132183 Number of "regular" Boolean functions of n variables. 2
2, 3, 5, 10, 27, 119, 1173, 44315, 16175190, 284432730176 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The sequence also counts order ideals (or antichains) of the binary majorization lattice with 2^n points. That lattice for n=5 will be illustrated in Fig. 8 of Volume 4 of The Art of Computer Programming. The basic properties of this lattice will be discussed in exercise 7.1.1-109 of that book. (The material of Section 7.1.1 will be available in paperback in a couple months.)

Michael Somos (Mar 13 2012) asks if A003187 and A132187 are the same. - N. J. A. Sloane, Mar 13 2012

LINKS

Table of n, a(n) for n=0..9.

Stefan Bolus, A QOBDD-based Approach to Simple Games, Dissertation, Doktor der Ingenieurwissenschaften der Technischen Fakultaet der Christian-Albrechts-Universitaet zu Kiel, 2012. - From N. J. A. Sloane, Dec 22 2012

Bjørn Kjos-Hanssen, Lei Liu, The number of languages with maximum state complexity, arXiv:1902.00815 [cs.FL], 2019.

EXAMPLE

For example, the 10 Boolean functions for n=3 have the truth tables

00000000

00000001

00000011

00000111

00001111

00010111

00011111

00111111

01111111

11111111

(things don't get very interesting until n=4 or 5).

CROSSREFS

Sequence in context: A223545 A088938 A000617 * A259878 A003504 A213169

Adjacent sequences:  A132180 A132181 A132182 * A132184 A132185 A132186

KEYWORD

nonn,more

AUTHOR

Don Knuth, Nov 19 2007

STATUS

approved

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Last modified June 14 05:51 EDT 2021. Contains 345018 sequences. (Running on oeis4.)