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A109462 Number of PN-equivalence classes of canalizing functions with n variables. 3
2, 3, 5, 11, 43, 803, 2456315 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

PN-equivalence allows complementing the individual variables.

REFERENCES

D. E. Knuth, The Art of Computer Programming, Vol. 4, Section 7.1.1 (in preparation).

LINKS

Table of n, a(n) for n=0..6.

FORMULA

For n>1, a(n) = 2*A000616(n) - 1 because the only self-dual examples occur when the function is a projection onto a single variable.

CROSSREFS

See A102449 for definition and further references. Cf. A109460, A000616.

Sequence in context: A276532 A003686 A086506 * A000905 A065296 A114895

Adjacent sequences:  A109459 A109460 A109461 * A109463 A109464 A109465

KEYWORD

nonn

AUTHOR

Don Knuth, Aug 24 2005

STATUS

approved

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Last modified February 27 11:38 EST 2021. Contains 341656 sequences. (Running on oeis4.)