A281446 Triangle read by rows: Number of oriented graphs on n nodes with k components.

1, 0, 1, 0, 1, 1, 0, 5, 1, 1, 0, 34, 6, 1, 1, 0, 535, 39, 6, 1, 1, 0, 20848, 584, 40, 6, 1, 1, 0, 2120098, 21553, 589, 40, 6, 1, 1, 0, 572849763, 2144216, 21602, 590, 40, 6, 1, 1, 0, 415361983540, 575092291, 2144956, 21607, 590, 40, 6, 1, 1, 0, 815590925440865, 415946286005, 575116919, 2145005, 21608

Offset

0,8

Comments

Multiset transform of A086345.

Links

Table of n, a(n) for n=0..60.

Index entries for triangles generated by the Multiset Transformation

Formula

G.f.: Product_{j>=1} (1-y*x^j)^(-A086345(j)). - Alois P. Heinz, Apr 13 2017

Example

1;
0,1;
0,1,1;
0,5,1,1;
0,34,6,1,1;
0,535,39,6,1,1;
0,20848,584,40,6,1,1;
0,2120098,21553,589,40,6,1,1;
0,572849763,2144216,21602,590,40,6,1,1;
0,415361983540,575092291,2144956,21607,590,40,6,1,1;

Crossrefs

Cf. A086345 (column 1), A001174 (row sums).

Sequence in context: A271343 A086464 A227577 * A196840 A162298 A196755

Adjacent sequences: A281443 A281444 A281445 * A281447 A281448 A281449

Keyword

tabl,nonn

Author

R. J. Mathar, Apr 13 2017

Status

approved