A224539 Number of pairs of elements of the full transformational monoid T_n on {1,...,n} which generate a synchronizing monoid.

1, 12, 549, 51520, 8063385, 1871446896

Offset

1,2

Comments

This is an analog for T_n of sequence A071605 (or A040175) for the symmetric group S_n.

References

P. J. Cameron, Dixon's theorem and random synchronization, Discrete Math., 313 (2013), 1233-1246. (a(1)-a(6) were computed by James Mitchell.)

Links

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

Crossrefs

Cf. A040175, A071605.

Sequence in context: A373900 A163046 A193381 * A210816 A133415 A192602

Adjacent sequences: A224536 A224537 A224538 * A224540 A224541 A224542

Keyword

nonn,more

Author

N. J. A. Sloane, Apr 29 2013

Status

approved