|
| |
|
|
A049414
|
|
Number of quasi-initially connected digraphs with n labeled nodes.
|
|
3
|
|
|
|
1, 3, 54, 3804, 1022320, 1065957628, 4389587378792, 72020744942708040, 4721708591209396542528, 1237892622263984613044109216, 1298060581376190776821670648395840
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
We say that a node v of a digraph is a quasi-source iff for every other node u there exists directed path from u to v or from v to u. A digraph with at least one quasi-source is called quasi-initially connected.
|
|
|
REFERENCES
|
V. Jovovic and G. Kilibarda, Enumeration of labeled quasi-initially connected digraphs, Discrete Math., 224 (2000), 151-163.
|
|
|
LINKS
|
Table of n, a(n) for n=1..11.
|
|
|
FORMULA
|
The recurrence formulas are too long to be presented here.
|
|
|
CROSSREFS
|
Cf. A003027, A003028, A003029, A003030.
Sequence in context: A091796 A171213 A006025 * A003027 A054545 A158103
Adjacent sequences: A049411 A049412 A049413 * A049415 A049416 A049417
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Vladeta Jovovic, Goran Kilibarda (vladeta(AT)eunet.rs)
|
|
|
STATUS
|
approved
|
| |
|
|