A109462 Number of PN-equivalence classes of canalizing functions with n variables.

2, 3, 5, 11, 43, 803, 2456315

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 * A357305 A000905 A065296

Adjacent sequences: A109459 A109460 A109461 * A109463 A109464 A109465

Keyword

nonn

Author

Don Knuth, Aug 24 2005

Status

approved