A000857 Number of n-input 3-output switching networks under the action of S(n) on the inputs and S(3) and complementing group C(2,3) on the outputs. (Formerly M3696 N1511)

4, 74, 63440, 244728561176, 13754897546985740953546112, 181629101139670580935062344094172140654053010592464896

Offset

1,1

References

M. A. Harrison, On the number of classes of switching networks, J. Franklin Instit., 276 (1963), 313-327.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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

Links

Table of n, a(n) for n=1..6.

F. Yano and H. Yoshida, Some set partition statistics in non-crossing partitions and generating functions, Discr. Math., 307 (2007), 3147-3160.

Index entries for sequences related to switching networks

Crossrefs

Sequence in context: A139112 A100865 A007157 * A240007 A046057 A280889

Adjacent sequences: A000854 A000855 A000856 * A000858 A000859 A000860

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Aug 10 2011

Status

approved