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A219116
Number of semicomplete digraphs on n nodes with an "Emperor".
2
0, 1, 2, 9, 108, 3645, 354294, 100442349, 83682825624, 205891132094649, 1500946352969991210, 32497439772059170685073, 2093390532109442148854046084, 401741006974223960704968343445877, 229924845755649214047240549209929574046
OFFSET
0,3
COMMENTS
a(n) is also the number of asymmetric digraphs on n nodes with an "Emperor".
FORMULA
a(n) = n*3^((n^2 - 3*n + 2)/2).
PROG
(Maxima) A219116(n):=n*3^((n^2-3*n+2)/2)$ makelist(A219116(n), n, 0, 14); /* Martin Ettl, Nov 13 2012 */
CROSSREFS
See also A123903 for tournaments and A217652 for digraphs.
Sequence in context: A341056 A309452 A354663 * A245731 A290714 A062498
KEYWORD
nonn
AUTHOR
Rémy-Robert Joseph, Nov 12 2012
STATUS
approved