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A007411 Number of matrices with n columns whose rows do not cover each other. Also antichain covers of an unlabeled n-set.
(Formerly M3558)
6
1, 4, 19, 179, 16142, 489996794 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

REFERENCES

V. Jovovic, G. Kilibarda, On enumeration of the class of all monotone Boolean functions, in preparation.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=2..7.

M. Hofri, Email to N. J. A. Sloane, May 1994

V. Jovovic, G. Kilibarda, On the number of Boolean functions in the Post classes F^{mu}_8, in Russian, Diskretnaya Matematika, 11 (1999), no. 4, 127-138.

V. Jovovic, G. Kilibarda, On the number of Boolean functions in the Post classes F^{mu}_8, English translation, in Discrete Mathematics and Applications, 9, (1999), no. 6.

FORMULA

a(n)=A003182(n)-A003182(n-1)-1=A006602(n)-1.

CROSSREFS

Cf. A037843, A006126, A003182, A006602.

Sequence in context: A155804 A292167 A126147 * A276259 A072879 A112958

Adjacent sequences:  A007408 A007409 A007410 * A007412 A007413 A007414

KEYWORD

nonn,hard,more

AUTHOR

Micha Hofri (hofri(AT)cs.rice.edu)

EXTENSIONS

a(7) from A003182. - N. J. A. Sloane, Aug 13 2015

STATUS

approved

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Last modified February 18 23:26 EST 2018. Contains 299330 sequences. (Running on oeis4.)