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A082402 Number of n-node labeled weakly connected acyclic digraphs. 2
0, 1, 2, 18, 446, 26430, 3596762, 1111506858, 774460794326, 1206342801843750, 4162927142993589122, 31557464707483035620178, 521560130632321900618457246, 18669813048017298278379855511470 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

R. W. Robinson, Counting labeled acyclic digraphs, pp. 263-264 of F. Harary, editor, New Directions in the Theory of Graphs. Academic Press, NY, 1973.

FORMULA

E.g.f.: ln(B(x)) where B(x) is e.g.f. for A003024. a(n) = A003024(n) - Sum_{k=1..n-1} binomial(n-1, k-1)*a(k)*A003024(n-k).

CROSSREFS

Cf. A003024.

Sequence in context: A152684 A201732 A141074 * A156907 A053916 A015203

Adjacent sequences:  A082399 A082400 A082401 * A082403 A082404 A082405

KEYWORD

nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 15 2003

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Last modified February 15 16:28 EST 2012. Contains 205823 sequences.