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A120618 Number of inequivalent (under "inversion of variables") monotone Boolean functions of n or fewer variables. 0
1, 2, 4, 12, 90, 3831 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

We define the "inversion of variables", i, by (i.f)(x1,...,xn)=1+f(1+x1,...,1+xn). Note that {i,identity function} is a group. It turns out that if f is a monotone function, then i.f is also a monotone function. f is equivalent to g if f=g or f=i.g.

EXAMPLE

a(1)=2 because m(x)=0,n(x)=1,k(x)=x are the three monotone Boolean functions (of 1 or fewer variables) and m,n are equivalent.

CROSSREFS

Cf. A120608, A120587, A006602.

Sequence in context: A144295 A119489 A053631 * A038791 A001696 A013333

Adjacent sequences:  A120615 A120616 A120617 * A120619 A120620 A120621

KEYWORD

nonn,more

AUTHOR

Alan Veliz-Cuba (alanavc(AT)vt.edu), Jun 18 2006

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Last modified February 17 04:56 EST 2012. Contains 205985 sequences.