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A121936 Number of digraphs with labeled vertices and labeled arcs, with n arcs and with no vertex of indegree 0 or outdegree 0. 1
1, 0, 2, 18, 518, 23610, 1600982, 150451098, 18694217558, 2966151496410, 584994048653462, 140357794553191578, 40253455215544778198, 13598018000464234802010, 5343837921922909297592342 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

E.g.f.: Sum(Sum((-1)^(n-k)*binomial(n,k)*(exp((k-1)*x)-1)^k*(exp(k*x)-1)^(n-k),k=0..n),n=0..infinity).

CROSSREFS

Cf. A122399, A122418.

Sequence in context: A156907 A053916 A015203 * A063389 A188202 A071352

Adjacent sequences:  A121933 A121934 A121935 * A121937 A121938 A121939

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 03 2006

EXTENSIONS

More terms from Max Alekseyev (maxale(AT)gmail.com), Jul 29 2009

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Last modified February 15 12:05 EST 2012. Contains 205782 sequences.