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

%I #26 Jun 08 2013 13:14:31

%S 1,12,549,51520,8063385,1871446896

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

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

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

%Y Cf. A040175, A071605.

%K nonn,more

%O 1,2

%A _N. J. A. Sloane_, Apr 29 2013