King chickens - I was wrong!

[N. J. A. Sloane]

Martin Fuller pointed out that I was wrong.
A highest scorer in a tournament is a king chicken,
but not conversely.

So there are really two sequences, A123553 (K.C.'s),
now corrected by Martin, and A125031, the total number
of highest scorers, computed by Martin Fuller to n=11
(this is what Gordon Royle computed out to n=10).

Maurer also defines "Emperors", chickens
who peck everybody else, which is n*2^((n-1)(n-2)/2)
(it will be A123903).

Neil