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A005530 Number of Boolean functions of n variables from Post class F(8,inf); number of degenerate Boolean functions of n variables.
(Formerly M1711)
+0
2
2, 6, 38, 942, 325262, 25768825638, 129127208425774833206, 2722258935367507707190488025630791841374 (list; graph; listen)
OFFSET

1,1

REFERENCES

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

I. Tomescu, Introducere in Combinatorica. Editura Tehnica, Bucharest, 1972, p. 129.

LINKS

Index entries for sequences related to Boolean functions

FORMULA

Sum((-1)^(j+1)*C(n, j)*2^(2^(n-j), j=1..n).

CROSSREFS

A005530(n)=2^(2^n)-A000371(n). Cf. A036239, A036240.

Sequence in context: A005740 A006536 A057297 this_sequence A072191 A118324 A060421

Adjacent sequences: A005527 A005528 A005529 this_sequence A005531 A005532 A005533

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

EXTENSIONS

More terms from Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs).

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.


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