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Triangle read by rows: Number of oriented graphs on n nodes with k components.
2

%I #14 Sep 15 2017 19:39:09

%S 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,

%T 2120098,21553,589,40,6,1,1,0,572849763,2144216,21602,590,40,6,1,1,0,

%U 415361983540,575092291,2144956,21607,590,40,6,1,1,0,815590925440865,415946286005,575116919,2145005,21608

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

%C Multiset transform of A086345.

%H <a href="/index/Mu#multiplicative_completely">Index entries for triangles generated by the Multiset Transformation</a>

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

%e 1;

%e 0,1;

%e 0,1,1;

%e 0,5,1,1;

%e 0,34,6,1,1;

%e 0,535,39,6,1,1;

%e 0,20848,584,40,6,1,1;

%e 0,2120098,21553,589,40,6,1,1;

%e 0,572849763,2144216,21602,590,40,6,1,1;

%e 0,415361983540,575092291,2144956,21607,590,40,6,1,1;

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

%K tabl,nonn

%O 0,8

%A _R. J. Mathar_, Apr 13 2017