A346631 Number of strongly asymmetric Boolean nested canalizing functions with n variables.

4, 24, 240, 2880, 41760

Offset

2,1

Links

Table of n, a(n) for n=2..6.

Yuan Li, Frank Ingram, Huaming Zhang, Certificate complexity and symmetric properties of nested canalizing functions, arXiv:2001.09094 [cs.DM], 2020-2021

Formula

a(n) = n!((1+sqrt(2))^{n-1}-(1-sqrt(2))^{n-1})/sqrt(2).

Crossrefs

Comments from the Editors: It appears that this is essentially n!*A163271(n) (see also A052542), and also essentially 2*n!*A000129(n) (see also A215928). It also appears to match 2*A052580.

Sequence in context: A240403 A366734 A074598 * A307826 A239840 A052718

Adjacent sequences: A346628 A346629 A346630 * A346632 A346633 A346634

Keyword

nonn

Author

Yuan Li, Jul 25 2021

Status

approved