A361582
Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with k strongly connected components.
Original entry on oeis.org
1, 0, 1, 0, 1, 2, 0, 5, 5, 6, 0, 83, 62, 42, 31, 0, 5048, 2494, 1172, 592, 302, 0, 1047008, 330063, 103961, 38312, 15616, 5984, 0, 705422362, 137934757, 28095923, 7243110, 2297690, 795930, 243668, 0, 1580348371788, 184557780045, 23226116293, 3951426731, 914429926, 261269562, 79512478, 20286025
Offset: 0
Triangle begins:
1;
0, 1;
0, 1, 2;
0, 5, 5, 6;
0, 83, 62, 42, 31;
0, 5048, 2494, 1172, 592, 302;
0, 1047008, 330063, 103961, 38312, 15616, 5984;
...
A361588
Triangle read by rows: T(n,k) is the number of digraphs on n unlabeled nodes with k strongly connected components and without isolated nodes.
Original entry on oeis.org
1, 0, 0, 0, 1, 1, 0, 5, 4, 4, 0, 83, 57, 37, 25, 0, 5048, 2411, 1110, 550, 271, 0, 1047008, 325015, 101467, 37140, 15024, 5682, 0, 705422362, 136887749, 27765860, 7139149, 2259378, 780314, 237684, 0, 1580348371788, 183852357683, 23088181536, 3923330808, 907186816, 258971872, 78716548, 20042357
Offset: 0
Triangle begins:
1;
0, 0;
0, 1, 1;
0, 5, 4, 4;
0, 83, 57, 37, 25;
0, 5048, 2411, 1110, 550, 271;
0, 1047008, 325015, 101467, 37140, 15024, 5682;
...
A361591
Triangle read by rows: T(n,k) is the number of weakly connected simple digraphs on n labeled nodes with k strongly connected components.
Original entry on oeis.org
1, 0, 1, 0, 1, 2, 0, 18, 18, 18, 0, 1606, 1098, 684, 446, 0, 565080, 263580, 116370, 55620, 26430, 0, 734774776, 225806940, 68822910, 24578010, 9729090, 3596762, 0, 3523091615568, 680637057912, 136498491360, 34626926250, 10819771830, 3694824126, 1111506858
Offset: 0
Triangle begins:
1;
0, 1;
0, 1, 2;
0, 18, 18, 18;
0, 1606, 1098, 684, 446;
0, 565080, 263580, 116370, 55620, 26430;
0, 734774776, 225806940, 68822910, 24578010, 9729090, 3596762;
...
-
\\ Uses functions defined in A361455.
T(n)={my(e=2); [Vecrev(p) | p<-Vec(serlaplace(1 + log(U(e, 1/G(e, exp(y*log(U(e, 1/G(e, DigraphEgf(n, e))))))))))]}
{ my(A=T(6)); for(i=1, #A, print(A[i])) }
Showing 1-3 of 3 results.